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23003022432 = 2531387721017
BaseRepresentation
bin10101011011000101…
…100100010001100000
32012101010020121120210
4111123011210101200
5334102233204212
614322322334120
71443015315225
oct253305442140
965333217523
1023003022432
119834674245
12455b7ba340
1322278a9aa0
14118307794c
158e970a53c
hex55b164460

23003022432 has 96 divisors (see below), whose sum is σ = 65105020512. Its totient is φ = 7069446144.

The previous prime is 23003022409. The next prime is 23003022443. The reversal of 23003022432 is 23422030032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 23003022399 and 23003022408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1083988 + ... + 1105004.

It is an arithmetic number, because the mean of its divisors is an integer number (678177297).

Almost surely, 223003022432 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 23003022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32552510256).

23003022432 is an abundant number, since it is smaller than the sum of its proper divisors (42101998080).

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

23003022432 is a wasteful number, since it uses less digits than its factorization.

23003022432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21920 (or 21912 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 23003022432 its reverse (23422030032), we get a palindrome (46425052464).

The spelling of 23003022432 in words is "twenty-three billion, three million, twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 877 1248 1754 2631 3508 5262 7016 10524 11401 14032 21017 21048 22802 28064 34203 42034 42096 45604 63051 68406 84068 84192 91208 126102 136812 168136 182416 252204 273221 273624 336272 364832 504408 546442 547248 672544 819663 1008816 1092884 1094496 1639326 2017632 2185768 3278652 4371536 6557304 8743072 13114608 18431909 26229216 36863818 55295727 73727636 110591454 147455272 221182908 239614817 294910544 442365816 479229634 589821088 718844451 884731632 958459268 1437688902 1769463264 1916918536 2875377804 3833837072 5750755608 7667674144 11501511216 23003022432