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23149568 = 210133747
BaseRepresentation
bin101100001001…
…1110000000000
31121120010020102
41120103300000
521411241233
62144101532
7400524311
oct130236000
947503212
1023149568
1112081682
1279048a8
134a46b90
143108608
1520741e8
hex1613c00

23149568 has 88 divisors (see below), whose sum is σ = 52272192. Its totient is φ = 10174464.

The previous prime is 23149547. The next prime is 23149571. The reversal of 23149568 is 86594132.

It is a happy number.

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, 492521 + ... + 492567.

Almost surely, 223149568 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 23149568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26136096).

23149568 is an abundant number, since it is smaller than the sum of its proper divisors (29122624).

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

23149568 is a wasteful number, since it uses less digits than its factorization.

23149568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 23149568 is about 4811.3997963171. The cubic root of 23149568 is about 285.0018179837.

The spelling of 23149568 in words is "twenty-three million, one hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 47 52 64 74 94 104 128 148 188 208 256 296 376 416 481 512 592 611 752 832 962 1024 1184 1222 1504 1664 1739 1924 2368 2444 3008 3328 3478 3848 4736 4888 6016 6656 6956 7696 9472 9776 12032 13312 13912 15392 18944 19552 22607 24064 27824 30784 37888 39104 45214 48128 55648 61568 78208 90428 111296 123136 156416 180856 222592 246272 312832 361712 445184 492544 625664 723424 890368 1446848 1780736 2893696 5787392 11574784 23149568