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153131172 = 223174211783
BaseRepresentation
bin10010010000010…
…01100010100100
3101200010212110220
421020021202210
5303200144142
623110044340
73536410365
oct1110114244
9350125426
10153131172
1179490797
12433496b0
132595717c
14164a1b6c
15d69c2ec
hex92098a4

153131172 has 48 divisors (see below), whose sum is σ = 379435392. Its totient is φ = 47900160.

The previous prime is 153131161. The next prime is 153131179. The reversal of 153131172 is 271131351.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (153131179) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84993 + ... + 86775.

It is an arithmetic number, because the mean of its divisors is an integer number (7904904).

Almost surely, 2153131172 is an apocalyptic number.

153131172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

153131172 is the 10104-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153131172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189717696).

153131172 is an abundant number, since it is smaller than the sum of its proper divisors (226304220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153131172 is a wasteful number, since it uses less digits than its factorization.

153131172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2226 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 153131172 is about 12374.6180547118. The cubic root of 153131172 is about 535.0009281726. Note that the first 3 decimals are identical.

The spelling of 153131172 in words is "one hundred fifty-three million, one hundred thirty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 421 842 1263 1684 1783 2526 3566 5052 5349 7132 7157 10698 14314 21396 21471 28628 30311 42942 60622 85884 90933 121244 181866 363732 750643 1501286 2251929 3002572 4503858 9007716 12760931 25521862 38282793 51043724 76565586 153131172