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23233968 = 2432179491
BaseRepresentation
bin101100010100…
…0010110110000
31121201102000100
41120220112300
521421441333
62145552400
7401325342
oct130502660
947642010
1023233968
111212a02a
127945700
134a76414
14312b292
15208e213
hex16285b0

23233968 has 60 divisors (see below), whose sum is σ = 68854968. Its totient is φ = 7288320.

The previous prime is 23233961. The next prime is 23233993. The reversal of 23233968 is 86933232.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23233961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2298 + ... + 7193.

Almost surely, 223233968 is an apocalyptic number.

It is an amenable number.

23233968 is an abundant number, since it is smaller than the sum of its proper divisors (45621000).

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

23233968 is a wasteful number, since it uses less digits than its factorization.

23233968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9522 (or 9513 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 23233968 is about 4820.1626528573. The cubic root of 23233968 is about 285.3477564744.

The spelling of 23233968 in words is "twenty-three million, two hundred thirty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 9491 18982 28473 37964 56946 75928 85419 113892 151856 161347 170838 227784 322694 341676 455568 484041 645388 683352 968082 1290776 1366704 1452123 1936164 2581552 2904246 3872328 5808492 7744656 11616984 23233968