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23045568 = 2637131319
BaseRepresentation
bin101011111101…
…0010111000000
31121100211120120
41113322113000
521344424233
62141540240
7366612150
oct127722700
947324516
1023045568
1112010527
127874680
134a0b740
1430bc760
1520534b3
hex15fa5c0

23045568 has 112 divisors (see below), whose sum is σ = 75102720. Its totient is φ = 6073344.

The previous prime is 23045497. The next prime is 23045573. The reversal of 23045568 is 86554032.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16813 + ... + 18131.

It is an arithmetic number, because the mean of its divisors is an integer number (670560).

Almost surely, 223045568 is an apocalyptic number.

23045568 is a gapful number since it is divisible by the number (28) 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 23045568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37551360).

23045568 is an abundant number, since it is smaller than the sum of its proper divisors (52057152).

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

23045568 is a wasteful number, since it uses less digits than its factorization.

23045568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 23045568 is about 4800.5799649626. The cubic root of 23045568 is about 284.5743847142.

The spelling of 23045568 in words is "twenty-three million, forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1319 1344 1456 2184 2496 2638 2912 3957 4368 5276 5824 7914 8736 9233 10552 15828 17147 17472 18466 21104 27699 31656 34294 36932 42208 51441 55398 63312 68588 73864 84416 102882 110796 120029 126624 137176 147728 205764 221592 240058 253248 274352 295456 360087 411528 443184 480116 548704 590912 720174 823056 886368 960232 1097408 1440348 1646112 1772736 1920464 2880696 3292224 3840928 5761392 7681856 11522784 23045568