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23204864 = 210173143
BaseRepresentation
bin101100010000…
…1010000000000
31121122221002102
41120201100000
521420023424
62145205532
7401144444
oct130412000
947587072
1023204864
111210a181
1279308a8
134a660b7
143120824
1520857ae
hex1621400

23204864 has 88 divisors (see below), whose sum is σ = 51879168. Its totient is φ = 10321920.

The previous prime is 23204849. The next prime is 23204873. The reversal of 23204864 is 46840232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539627 + ... + 539669.

It is an arithmetic number, because the mean of its divisors is an integer number (589536).

Almost surely, 223204864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25939584).

23204864 is an abundant number, since it is smaller than the sum of its proper divisors (28674304).

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

23204864 is a wasteful number, since it uses less digits than its factorization.

23204864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 23204864 is about 4817.1427215726. The cubic root of 23204864 is about 285.2285598572.

The spelling of 23204864 in words is "twenty-three million, two hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 31 32 34 43 62 64 68 86 124 128 136 172 248 256 272 344 496 512 527 544 688 731 992 1024 1054 1088 1333 1376 1462 1984 2108 2176 2666 2752 2924 3968 4216 4352 5332 5504 5848 7936 8432 8704 10664 11008 11696 15872 16864 17408 21328 22016 22661 23392 31744 33728 42656 44032 45322 46784 67456 85312 90644 93568 134912 170624 181288 187136 269824 341248 362576 374272 539648 682496 725152 748544 1364992 1450304 2900608 5801216 11602432 23204864