Search a number
-
+
22431017232 = 24331318122067
BaseRepresentation
bin10100111000111111…
…100010100100010000
32010220020220201222000
4110320333202210100
5331414320022412
614145450314000
71422601333461
oct247077424420
963806821860
1022431017232
1195707a7278
124420128900
132166233580
14112b0dad68
158b43bc4dc
hex538fe2910

22431017232 has 160 divisors (see below), whose sum is σ = 69724287360. Its totient is φ = 6863408640.

The previous prime is 22431017227. The next prime is 22431017243. The reversal of 22431017232 is 23271013422.

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 = 22431017196 and 22431017205.

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, 1005463 + ... + 1027529.

It is an arithmetic number, because the mean of its divisors is an integer number (435776796).

Almost surely, 222431017232 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 22431017232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34862143680).

22431017232 is an abundant number, since it is smaller than the sum of its proper divisors (47293270128).

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

22431017232 is a wasteful number, since it uses less digits than its factorization.

22431017232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22278 (or 22266 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 22431017232 in words is "twenty-two billion, four hundred thirty-one million, seventeen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 181 208 216 234 312 351 362 432 468 543 624 702 724 936 1086 1404 1448 1629 1872 2172 2353 2808 2896 3258 4344 4706 4887 5616 6516 7059 8688 9412 9774 13032 14118 18824 19548 21177 22067 26064 28236 37648 39096 42354 44134 56472 63531 66201 78192 84708 88268 112944 127062 132402 169416 176536 198603 254124 264804 286871 338832 353072 397206 508248 529608 573742 595809 794412 860613 1016496 1059216 1147484 1191618 1588824 1721226 2294968 2383236 2581839 3177648 3442452 3994127 4589936 4766472 5163678 6884904 7745517 7988254 9532944 10327356 11982381 13769808 15491034 15976508 20654712 23964762 30982068 31953016 35947143 41309424 47929524 51923651 61964136 63906032 71894286 95859048 103847302 107841429 123928272 143788572 155770953 191718096 207694604 215682858 287577144 311541906 415389208 431365716 467312859 575154288 623083812 830778416 862731432 934625718 1246167624 1401938577 1725462864 1869251436 2492335248 2803877154 3738502872 5607754308 7477005744 11215508616 22431017232