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232025664 = 2631392959
BaseRepresentation
bin11011101010001…
…10111001000000
3121011121010101010
431311012321000
5433344310124
635005040520
75515120443
oct1565067100
9534533333
10232025664
11109a77352
1265856140
13390bb2c0
1422b5b65a
1515583529
hexdd46e40

232025664 has 56 divisors (see below), whose sum is σ = 661131520. Its totient is φ = 71391744.

The previous prime is 232025659. The next prime is 232025687. The reversal of 232025664 is 466520232.

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, 43984 + ... + 48975.

It is an arithmetic number, because the mean of its divisors is an integer number (11805920).

Almost surely, 2232025664 is an apocalyptic number.

232025664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232025664 is an abundant number, since it is smaller than the sum of its proper divisors (429105856).

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

232025664 is a wasteful number, since it uses less digits than its factorization.

232025664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92987 (or 92977 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 232025664 is about 15232.3886505039. The cubic root of 232025664 is about 614.4860217555.

Adding to 232025664 its reverse (466520232), we get a palindrome (698545896).

The spelling of 232025664 in words is "two hundred thirty-two million, twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 92959 185918 278877 371836 557754 743672 1115508 1208467 1487344 2231016 2416934 2974688 3625401 4462032 4833868 5949376 7250802 8924064 9667736 14501604 17848128 19335472 29003208 38670944 58006416 77341888 116012832 232025664