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23331240432 = 24331071313853
BaseRepresentation
bin10101101110101001…
…100111100111110000
32020012222211211001000
4111232221213213300
5340240244143212
614415045242000
71454112162063
oct255651474760
966188754030
1023331240432
119992971295
124631703300
13227a8a7716
1411b48b48da
159184401dc
hex56ea679f0

23331240432 has 160 divisors (see below), whose sum is σ = 68128853760. Its totient is φ = 7643600640.

The previous prime is 23331240397. The next prime is 23331240463. The reversal of 23331240432 is 23404213332.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23331240396 and 23331240405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6053418 + ... + 6057270.

It is an arithmetic number, because the mean of its divisors is an integer number (425805336).

Almost surely, 223331240432 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 23331240432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34064426880).

23331240432 is an abundant number, since it is smaller than the sum of its proper divisors (44797613328).

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

23331240432 is a wasteful number, since it uses less digits than its factorization.

23331240432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 23331240432 its reverse (23404213332), we get a palindrome (46735453764).

The spelling of 23331240432 in words is "twenty-three billion, three hundred thirty-one million, two hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 131 144 214 216 262 321 393 428 432 524 642 786 856 963 1048 1179 1284 1572 1712 1926 2096 2358 2568 2889 3144 3537 3852 3853 4716 5136 5778 6288 7074 7704 7706 9432 11556 11559 14017 14148 15408 15412 18864 23112 23118 28034 28296 30824 34677 42051 46224 46236 56068 56592 61648 69354 84102 92472 104031 112136 126153 138708 168204 184944 208062 224272 252306 277416 336408 378459 412271 416124 504612 504743 554832 672816 756918 824542 832248 1009224 1009486 1236813 1513836 1514229 1649084 1664496 2018448 2018972 2473626 3027672 3028458 3298168 3710439 4037944 4542687 4947252 6055344 6056916 6596336 7420878 8075888 9085374 9894504 11131317 12113832 13628061 14841756 18170748 19789008 22262634 24227664 27256122 29683512 36341496 44525268 54007501 54512244 59367024 72682992 89050536 108015002 109024488 162022503 178101072 216030004 218048976 324045006 432060008 486067509 648090012 864120016 972135018 1296180024 1458202527 1944270036 2592360048 2916405054 3888540072 5832810108 7777080144 11665620216 23331240432