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231412032 = 2633133919
BaseRepresentation
bin11011100101100…
…01000101000000
3121010102221122000
431302301011000
5433220141112
634543544000
75506653435
oct1562610500
9533387560
10231412032
11109698315
12655bb000
1338c34bc7
1422a3bb8c
15154b17dc
hexdcb1140

231412032 has 56 divisors (see below), whose sum is σ = 680313600. Its totient is φ = 77136768.

The previous prime is 231412031. The next prime is 231412033. The reversal of 231412032 is 230214132.

231412032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231412031) and next prime (231412033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231411996 and 231412014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231412031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65232 + ... + 68687.

Almost surely, 2231412032 is an apocalyptic number.

It is an amenable number.

231412032 is an abundant number, since it is smaller than the sum of its proper divisors (448901568).

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

231412032 is a wasteful number, since it uses less digits than its factorization.

231412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133940 (or 133924 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 231412032 is about 15212.2329721839. The cubic root of 231412032 is about 613.9438386529.

Adding to 231412032 its reverse (230214132), we get a palindrome (461626164).

The spelling of 231412032 in words is "two hundred thirty-one million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 133919 267838 401757 535676 803514 1071352 1205271 1607028 2142704 2410542 3214056 3615813 4285408 4821084 6428112 7231626 8570816 9642168 12856224 14463252 19284336 25712448 28926504 38568672 57853008 77137344 115706016 231412032