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22349766822916 = 2213234925212
BaseRepresentation
bin1010001010011101101011…
…11010011000110000000100
32221010121122200021221011111
411011032311322120300010
510412134310301313131
6115311201404014404
74464501025330441
oct505166572306004
987117580257144
1022349766822916
117137534794835
12260b64b831404
13c61760014300
14573a3d6029c8
1528b57e6a7ab1
hex1453b5e98c04

22349766822916 has 81 divisors (see below), whose sum is σ = 42555527641053. Its totient is φ = 10265978062080.

The previous prime is 22349766822871. The next prime is 22349766822919. The reversal of 22349766822916 is 61922866794322.

The square root of 22349766822916 is 4727554.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 18666806660100 + 3682960162816 = 4320510^2 + 1919104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22349766822919) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42897824736 + ... + 42897825256.

Almost surely, 222349766822916 is an apocalyptic number.

22349766822916 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

22349766822916 is the 4727554-th square number.

It is an amenable number.

22349766822916 is a deficient number, since it is larger than the sum of its proper divisors (20205760818137).

22349766822916 is an frugal number, since it uses more digits than its factorization.

22349766822916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 885 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 67.

The spelling of 22349766822916 in words is "twenty-two trillion, three hundred forty-nine billion, seven hundred sixty-six million, eight hundred twenty-two thousand, nine hundred sixteen".

Divisors: 1 2 4 13 26 52 169 338 349 521 676 698 1042 1396 2084 4537 6773 9074 13546 18148 27092 58981 88049 117962 121801 176098 181829 235924 243602 271441 352196 363658 487204 542882 727316 1085764 1583413 2363777 3166826 3528733 4727554 6333652 7057466 9455108 14114932 20584369 30729101 41168738 45873529 61458202 63458321 82337476 91747058 94732909 122916404 126916642 183494116 189465818 253833284 378931636 824958173 1231527817 1649916346 2463055634 3299832692 4926111268 10724456249 16009861621 21448912498 32019723242 33061785241 42897824996 64039446484 66123570482 132247140964 429803208133 859606416266 1719212832532 5587441705729 11174883411458 22349766822916