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23085664 = 257214723
BaseRepresentation
bin101100000010…
…0001001100000
31121102212120121
41120010021200
521402220124
62142450024
7400140100
oct130041140
947385517
1023085664
1112038668
127893914
134a23a74
1430cd200
1520602e4
hex1604260

23085664 has 36 divisors (see below), whose sum is σ = 52873884. Its totient is φ = 9893184.

The previous prime is 23085661. The next prime is 23085683. The reversal of 23085664 is 46658032.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23085661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5794 + ... + 8929.

It is an arithmetic number, because the mean of its divisors is an integer number (1468719).

Almost surely, 223085664 is an apocalyptic number.

It is an amenable number.

23085664 is an abundant number, since it is smaller than the sum of its proper divisors (29788220).

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

23085664 is a wasteful number, since it uses less digits than its factorization.

23085664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14747 (or 14732 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 23085664 is about 4804.7543121371. The cubic root of 23085664 is about 284.7393286996.

The spelling of 23085664 in words is "twenty-three million, eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 14723 29446 58892 103061 117784 206122 235568 412244 471136 721427 824488 1442854 1648976 2885708 3297952 5771416 11542832 23085664