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23245651220 = 22511229437703
BaseRepresentation
bin10101101001100011…
…000111110100010100
32020000000210102201012
4111221203013310110
5340101341314340
614402350551352
71452022526621
oct255143076424
966000712635
1023245651220
119949622900
124608b08558
132265c3b30c
1411a7395348
15910b85565
hex5698c7d14

23245651220 has 144 divisors (see below), whose sum is σ = 56805598080. Its totient is φ = 7970645760.

The previous prime is 23245651207. The next prime is 23245651237. The reversal of 23245651220 is 2215654232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3013889 + ... + 3021591.

It is an arithmetic number, because the mean of its divisors is an integer number (394483320).

Almost surely, 223245651220 is an apocalyptic number.

23245651220 is a gapful number since it is divisible by the number (20) 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 23245651220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28402799040).

23245651220 is an abundant number, since it is smaller than the sum of its proper divisors (33559946860).

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

23245651220 is a wasteful number, since it uses less digits than its factorization.

23245651220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7806 (or 7793 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 23245651220 in words is "twenty-three billion, two hundred forty-five million, six hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 43 44 55 58 86 110 116 121 145 172 215 220 242 290 319 430 473 484 580 605 638 860 946 1210 1247 1276 1595 1892 2365 2420 2494 3190 3509 4730 4988 5203 6235 6380 7018 7703 9460 10406 12470 13717 14036 15406 17545 20812 24940 26015 27434 30812 35090 38515 52030 54868 68585 70180 77030 84733 104060 137170 150887 154060 169466 223387 274340 301774 331229 338932 423665 446774 603548 662458 754435 847330 893548 932063 1116935 1324916 1508870 1656145 1694660 1864126 2233870 2457257 3017740 3312290 3643519 3728252 4467740 4660315 4914514 6624580 7287038 9320630 9605641 9829028 12286285 14574076 18217595 18641260 19211282 24572570 27029827 36435190 38422564 40078709 48028205 49145140 54059654 72870380 80157418 96056410 105662051 108119308 135149135 160314836 192112820 200393545 211324102 270298270 400787090 422648204 528310255 540596540 801574180 1056620510 1162282561 2113241020 2324565122 4649130244 5811412805 11622825610 23245651220