Math question: What is the probability of selecting a multiple of 9 between 100 and 200 (inclusive) at random?

To find the probability, we first count the number of multiples of 9 between 100 and 200. The closest multiple of 9 below 100 is 99, and the closest multiple of 9 above 200 is 207. Thus, we need to count multiples of 9 between 99 and 207. The difference between these two numbers is 207 - 99 = 108. Since 9 is a multiple of 9, we divide the difference by 9: 108 / 9 = 12. So, there are 12 multiples of 9 between 100 and 200. Next, we find the number of total values in the given range. Since we are looking for integers (whole numbers) between 100 and 200, we subtract them: 200 - 100 = 100. Therefore, the probability of selecting a multiple of 9 between 100 and 200 is 12/100, which simplifies to 3/25 (12 divides by 4 and 100 divides by 25).

Math Question: What is the sum of the first 10 positive odd numbers that are greater than 198?

To find the sum, we can set up the equation S = n/2 * (2a + (n-1)d), where S is the sum of the arithmetic series, a is the first term, n is the number of terms, and d is the common difference. Here, a = 199 (the smallest odd number greater than 198), n = 10 (the number of terms we want), and d = 2 (as odd numbers have a difference of 2). Plugging in these values, the equation becomes S = 10/2 * (2*199 + (10-1)*2) = 5 * (398 + 18) = 5 * 416 = 2080. Therefore, the sum of the first 10 positive odd numbers greater than 198 is 2080.

Math question: What is the lowest common multiple of 198 and 220?

To find the lowest common multiple (LCM) of two numbers, we can first factorize both numbers into their prime factors. The prime factorization of 198 is 2 x 3² x 11, while for 220, it is 2² x 5 x 11. Now, we take the highest power of each prime factor from both numbers: (2²) x (3²) x 5 x 11 = 4 x 9 x 5 x 11 = 1,980. Hence, the LCM of 198 and 220 is 1,980.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

198 (number)

198 is an even 3-digits composite number following 197 and preceding 199. In scientific notation, it is written as 1.98 × 10^2. The sum of its digits is 18. It has a total of 4 prime factors and 12 positive divisors. There are 60 positive integers (up to 198) that are relatively prime to 198.

Interesting facts

198 has 12 divisors, whose sum is 468
The reverse of 198 is 891
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 3
Sum of Digits 18
Digital Root 9

Name

Name	one hundred ninety-eight

Notation

Scientific notation	1.98 × 10^2
Engineering notation	1.98 × 10^0

Prime Factorization of 198

Prime Factorization 2 × 3 × 3 × 11

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	66	Product of the distinct prime numbers

The prime factorization of 198 is 2 × 3 × 3 × 11. Since it has a total of 4 prime factors.

Most popular turbo-numbers

7, 10, 17, 76, 218, 310, 329, 8497, 55130, 2003, 510785, 712267, 3016604, 9876254, 77185722, 45218842, 466785543, 208220302, 2575358697, 9896216321

Basic calculations (n = 198)

Multiplication

n×y

n×2	396
n×3	594
n×4	792
n×5	990

Division

n÷y

n÷2	99
n÷3	66
n÷3	49.5
n÷5	39.6

Exponentiation

n^y

n²	39204
n³	7762392
n⁴	1536953616
n⁵	304316815968

Nth Root

^y√n

²√n	14.07124727947
³√n	5.8284766832515
⁴√n	3.7511661226171
⁵√n	2.8796057895162

Divisors of 198

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

12 divisors

τ	Total Divisors	12	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-197	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.083333333333333	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	12	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 198 can be divided by 12 positive divisors. The sum of these divisors (counting 198) is 1, the average is 0.083333333333333.

Base conversion 198

Base	System	Value
2	Binary	11000110
3	Ternary	21100
4	Quaternary	3012
5	Quinary	1243
6	Senary	530
8	Octal	306
10	Decimal	198
12	Duodecimal	146
16	Hexadecimal	c6
20	Vigesimal	9i
36	Base36	5i

Cryptographic Hash Functions

md5	0e65972dce68dad4d52d063967f0a705
sha1	c837307a9a2ad4d08ca61a4f1bd848ba3d6890fc
sha256	a4e00d7e6aa82111575438c5e5d3e63269d4c475c718b2389f6d02932c47f8a6
sha512	e33cee2805c8ad78b93348f866226eb799b23dbda2e450d8fc340b484a350dbb70bbe19e271742c26bcb2e61f34dbf0a7a3393d5d416040c3ce611a0797ca8d1
ripemd-160	5158dfda083aaca94e712eb747b86703365463db

198 as geometric shapes

Circle

Radius = n

Diameter	396
Circumference	1244.0706908216
Area	123162.99839133

Sphere

Radius = n

Volume	32515031.575312
Surface area	492651.99356534
Circumference	1244.0706908216

Square

Length = n

Perimeter	792
Area	39204
Diagonal	280.01428534987

Cube

Length = n

Surface area	235224
Volume	7762392
Space diagonal	342.94605989864

Equilateral Triangle

Length = n

Perimeter	594
Area	16975.829964983
Altitude	171.47302994932

Triangular Pyramid

Length = n

Surface area	16975.829964983
Volume	914806.67023803
Height	93.338095116624