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231536052 = 2232111930773
BaseRepresentation
bin11011100110011…
…11010110110100
3121010200020202100
431303033112310
5433233123202
634550342100
75511011136
oct1563172664
9533606670
10231536052
11109772510
126565a930
1338c794a7
1422a71056
15154d841c
hexdccf5b4

231536052 has 72 divisors (see below), whose sum is σ = 672104160. Its totient is φ = 66467520.

The previous prime is 231536051. The next prime is 231536083. The reversal of 231536052 is 250635132.

231536052 is a `hidden beast` number, since 2 + 3 + 1 + 53 + 605 + 2 = 666.

It is a super-3 number, since 3×2315360523 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231536051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7863 + ... + 22910.

It is an arithmetic number, because the mean of its divisors is an integer number (9334780).

Almost surely, 2231536052 is an apocalyptic number.

231536052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231536052 is an abundant number, since it is smaller than the sum of its proper divisors (440568108).

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

231536052 is a wasteful number, since it uses less digits than its factorization.

231536052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30813 (or 30808 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 231536052 is about 15216.3087508108. The cubic root of 231536052 is about 614.0534954646.

The spelling of 231536052 in words is "two hundred thirty-one million, five hundred thirty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 30773 61546 92319 123092 184638 276957 338503 369276 553914 584687 677006 1015509 1107828 1169374 1354012 1754061 2031018 2338748 3046527 3508122 4062036 5262183 6093054 6431557 7016244 10524366 12186108 12863114 19294671 21048732 25726228 38589342 57884013 77178684 115768026 231536052