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22285842055048 = 231113315031249319
BaseRepresentation
bin1010001000100110100111…
…01100101111111110001000
32220220111122122120021001101
411010103103230233332020
510410112401031230143
6115221550254231144
74460045640634015
oct504232354577610
986814578507041
1022285842055048
117112410938570
1225bb18b4b54b4
13c58713416890
145708d77c070c
15289a8c5e0b4d
hex1444d3b2ff88

22285842055048 has 128 divisors (see below), whose sum is σ = 50775563059200. Its totient is φ = 9031069958400.

The previous prime is 22285842055007. The next prime is 22285842055117. The reversal of 22285842055048 is 84055024858222.

It is a super-2 number, since 2×222858420550482 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22285842055048.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17213733 + ... + 18463051.

It is an arithmetic number, because the mean of its divisors is an integer number (396684086400).

Almost surely, 222285842055048 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 22285842055048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25387781529600).

22285842055048 is an abundant number, since it is smaller than the sum of its proper divisors (28489721004152).

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

22285842055048 is a wasteful number, since it uses less digits than its factorization.

22285842055048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249883 (or 1249879 counting only the distinct ones).

The product of its (nonzero) digits is 16384000, while the sum is 55.

The spelling of 22285842055048 in words is "twenty-two trillion, two hundred eighty-five billion, eight hundred forty-two million, fifty-five thousand, forty-eight".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 248 286 341 403 503 572 682 806 1006 1144 1364 1612 2012 2728 3224 4024 4433 5533 6539 8866 11066 13078 15593 17732 22132 26156 31186 35464 44264 52312 62372 71929 124744 143858 171523 202709 287716 343046 405418 575432 686092 810836 1249319 1372184 1621672 2229799 2498638 4459598 4997276 8919196 9994552 13742509 16241147 17838392 27485018 32482294 38728889 54970036 64964588 77457778 109940072 129929176 154915556 178652617 309831112 357305234 426017779 503475557 628407457 714610468 852035558 1006951114 1256814914 1429220936 1704071116 2013902228 2513629828 3408142232 4027804456 5027259656 5538231127 6912482027 8169296941 11076462254 13824964054 16338593882 19480631167 22152924508 27649928108 32677187764 38961262334 44305849016 55299856216 65354375528 77922524668 89862266351 155845049336 179724532702 214286942837 253248205171 359449065404 428573885674 506496410342 718898130808 857147771348 1012992820684 1714295542696 2025985641368 2785730256881 5571460513762 11142921027524 22285842055048