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23215872 = 283193743
BaseRepresentation
bin101100010001…
…1111100000000
31121200111012010
41120203330000
521420401442
62145332520
7401221521
oct130437400
947614163
1023215872
1112117479
127937140
134a6b104
143124848
152088b9c
hex1623f00

23215872 has 144 divisors (see below), whose sum is σ = 68351360. Its totient is φ = 6967296.

The previous prime is 23215867. The next prime is 23215879. The reversal of 23215872 is 27851232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23215879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539883 + ... + 539925.

Almost surely, 223215872 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 23215872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34175680).

23215872 is an abundant number, since it is smaller than the sum of its proper divisors (45135488).

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

23215872 is a wasteful number, since it uses less digits than its factorization.

23215872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 23215872 is about 4818.2851721333. The cubic root of 23215872 is about 285.2736552824.

The spelling of 23215872 in words is "twenty-three million, two hundred fifteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 43 48 57 64 74 76 86 96 111 114 128 129 148 152 172 192 222 228 256 258 296 304 344 384 444 456 516 592 608 688 703 768 817 888 912 1032 1184 1216 1376 1406 1591 1634 1776 1824 2064 2109 2368 2432 2451 2752 2812 3182 3268 3552 3648 4128 4218 4736 4773 4864 4902 5504 5624 6364 6536 7104 7296 8256 8436 9472 9546 9804 11008 11248 12728 13072 14208 14592 16512 16872 19092 19608 22496 25456 26144 28416 30229 33024 33744 38184 39216 44992 50912 52288 60458 67488 76368 78432 89984 90687 101824 104576 120916 134976 152736 156864 179968 181374 203648 209152 241832 269952 305472 313728 362748 407296 483664 539904 610944 627456 725496 967328 1221888 1450992 1934656 2901984 3869312 5803968 7738624 11607936 23215872