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232157664 = 253489567
BaseRepresentation
bin11011101011001…
…11000111100000
3121011211211110000
431311213013200
5433413021124
635011540000
75516210334
oct1565470740
9534754400
10232157664
1110a057542
12658ba600
13391363cb
1422b937c4
15155ac6c9
hexdd671e0

232157664 has 60 divisors (see below), whose sum is σ = 682776864. Its totient is φ = 77385024.

The previous prime is 232157663. The next prime is 232157689. The reversal of 232157664 is 466751232.

232157664 is a `hidden beast` number, since 2 + 3 + 21 + 576 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232157663) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42192 + ... + 47375.

Almost surely, 2232157664 is an apocalyptic number.

232157664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232157664 is an abundant number, since it is smaller than the sum of its proper divisors (450619200).

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

232157664 is an equidigital number, since it uses as much as digits as its factorization.

232157664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89589 (or 89572 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 232157664 is about 15236.7209070718. The cubic root of 232157664 is about 614.6025272269.

The spelling of 232157664 in words is "two hundred thirty-two million, one hundred fifty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 89567 179134 268701 358268 537402 716536 806103 1074804 1433072 1612206 2149608 2418309 2866144 3224412 4299216 4836618 6448824 7254927 8598432 9673236 12897648 14509854 19346472 25795296 29019708 38692944 58039416 77385888 116078832 232157664