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22189994928 = 2433313175227
BaseRepresentation
bin10100101010101000…
…000111001110110000
32010021110101112112000
4110222220013032300
5330421114314203
614105520334000
71413613562523
oct245250071660
963243345460
1022189994928
119457745692
124373474300
13212831531a
1411070babba
1589d15d4a3
hex52aa073b0

22189994928 has 160 divisors (see below), whose sum is σ = 65968158720. Its totient is φ = 7134117120.

The previous prime is 22189994891. The next prime is 22189994963. The reversal of 22189994928 is 82949998122.

It is a nude number because it is divisible by every one of its digits.

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, 4242651 + ... + 4247877.

It is an arithmetic number, because the mean of its divisors is an integer number (412300992).

Almost surely, 222189994928 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 22189994928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32984079360).

22189994928 is an abundant number, since it is smaller than the sum of its proper divisors (43778163792).

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

22189994928 is a wasteful number, since it uses less digits than its factorization.

22189994928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5592 (or 5580 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The spelling of 22189994928 in words is "twenty-two billion, one hundred eighty-nine million, nine hundred ninety-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 317 372 432 496 558 634 744 837 951 1116 1268 1488 1674 1902 2232 2536 2853 3348 3804 4464 5072 5227 5706 6696 7608 8559 9827 10454 11412 13392 15216 15681 17118 19654 20908 22824 29481 31362 34236 39308 41816 45648 47043 58962 62724 68472 78616 83632 88443 94086 117924 125448 136944 141129 157232 162037 176886 188172 235848 250896 265329 282258 324074 353772 376344 471696 486111 530658 564516 648148 707544 752688 972222 1061316 1129032 1296296 1415088 1458333 1656959 1944444 2122632 2258064 2592592 2916666 3313918 3888888 4245264 4374999 4970877 5833332 6627836 7777776 8749998 9941754 11666664 13255672 14912631 17499996 19883508 23333328 26511344 29825262 34999992 39767016 44737893 51365729 59650524 69999984 79534032 89475786 102731458 119301048 154097187 178951572 205462916 238602096 308194374 357903144 410925832 462291561 616388748 715806288 821851664 924583122 1232777496 1386874683 1849166244 2465554992 2773749366 3698332488 5547498732 7396664976 11094997464 22189994928