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232120896 = 2637172709
BaseRepresentation
bin11011101010111…
…10001001000000
3121011202222000020
431311132021000
5433410332041
635011053440
75515665210
oct1565361100
9534688006
10232120896
1110a031957
12658a1280
1339122757
1422b84240
15155a1866
hexdd5e240

232120896 has 56 divisors (see below), whose sum is σ = 701893440. Its totient is φ = 66319872.

The previous prime is 232120879. The next prime is 232120909. The reversal of 232120896 is 698021232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2321208962 = 107760220719685632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85011 + ... + 87698.

Almost surely, 2232120896 is an apocalyptic number.

It is an amenable number.

232120896 is an abundant number, since it is smaller than the sum of its proper divisors (469772544).

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

232120896 is a wasteful number, since it uses less digits than its factorization.

232120896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172731 (or 172721 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 232120896 is about 15235.5143004757. The cubic root of 232120896 is about 614.5700795957.

The spelling of 232120896 in words is "two hundred thirty-two million, one hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 172709 345418 518127 690836 1036254 1208963 1381672 2072508 2417926 2763344 3626889 4145016 4835852 5526688 7253778 8290032 9671704 11053376 14507556 16580064 19343408 29015112 33160128 38686816 58030224 77373632 116060448 232120896