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23046264 = 23323741211
BaseRepresentation
bin101011111101…
…0100001111000
31121100212112100
41113322201320
521344440024
62141543400
7366614163
oct127724170
947325470
1023046264
1112010aaa
127874b60
134a0bb57
1430bcada
1520537c9
hex15fa878

23046264 has 96 divisors (see below), whose sum is σ = 65978640. Its totient is φ = 7257600.

The previous prime is 23046239. The next prime is 23046313. The reversal of 23046264 is 46264032.

23046264 is a `hidden beast` number, since 2 + 30 + 4 + 626 + 4 = 666.

It is a super-2 number, since 2×230462642 = 1062260568715392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109119 + ... + 109329.

Almost surely, 223046264 is an apocalyptic number.

23046264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23046264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32989320).

23046264 is an abundant number, since it is smaller than the sum of its proper divisors (42932376).

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

23046264 is a wasteful number, since it uses less digits than its factorization.

23046264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 23046264 is about 4800.6524556564. The cubic root of 23046264 is about 284.5772494990.

The spelling of 23046264 in words is "twenty-three million, forty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 41 72 74 82 111 123 148 164 211 222 246 296 328 333 369 422 444 492 633 666 738 844 888 984 1266 1332 1476 1517 1688 1899 2532 2664 2952 3034 3798 4551 5064 6068 7596 7807 8651 9102 12136 13653 15192 15614 17302 18204 23421 25953 27306 31228 34604 36408 46842 51906 54612 62456 69208 70263 77859 93684 103812 109224 140526 155718 187368 207624 281052 311436 320087 562104 622872 640174 960261 1280348 1920522 2560696 2880783 3841044 5761566 7682088 11523132 23046264