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22353454467136 = 261362692
BaseRepresentation
bin1010001010100100100011…
…01101101000100001000000
32221010222011200020200001001
411011102101231220201000
510412214333320422021
6115313011335021344
74464661303643662
oct505222155504100
987128150220031
1022353454467136
117139057325491
1226102ba80a854
13c61bca000000
14573cad288532
1528b6e82cd091
hex145491b68840

22353454467136 has 147 divisors (see below), whose sum is σ = 48233409010891. Its totient is φ = 10278625903104.

The previous prime is 22353454467053. The next prime is 22353454467139. The reversal of 22353454467136 is 63176445435322.

The square root of 22353454467136 is 4727944.

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

It can be written as a sum of positive squares in 10 ways, for example, as 358705166400 + 21994749300736 = 598920^2 + 4689856^2 .

It is a super-2 number, since 2×223534544671362 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22353454467139) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 83098343610 + ... + 83098343878.

Almost surely, 222353454467136 is an apocalyptic number.

22353454467136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

22353454467136 is the 4727944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22353454467136

22353454467136 is an abundant number, since it is smaller than the sum of its proper divisors (25879954543755).

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

22353454467136 is an frugal number, since it uses more digits than its factorization.

22353454467136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 284 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 55.

The spelling of 22353454467136 in words is "twenty-two trillion, three hundred fifty-three billion, four hundred fifty-four million, four hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 269 338 416 538 676 832 1076 1352 2152 2197 2704 3497 4304 4394 5408 6994 8608 8788 10816 13988 17216 17576 27976 28561 35152 45461 55952 57122 70304 72361 90922 111904 114244 140608 144722 181844 223808 228488 289444 363688 371293 456976 578888 590993 727376 742586 913952 940693 1157776 1181986 1454752 1485172 1827904 1881386 2315552 2363972 2909504 2970344 3762772 4631104 4727944 4826809 5940688 7525544 7682909 9455888 9653618 11881376 12229009 15051088 15365818 18911776 19307236 23762752 24458018 30102176 30731636 37823552 38614472 48916036 60204352 61463272 77228944 97832072 99877817 122926544 154457888 158977117 195664144 199755634 245853088 308915776 317954234 391328288 399511268 491706176 635908468 782656576 799022536 1271816936 1298411621 1598045072 2066702521 2543633872 2596823242 3196090144 4133405042 5087267744 5193646484 6392180288 8266810084 10174535488 10387292968 16533620168 20774585936 26867132773 33067240336 41549171872 53734265546 66134480672 83098343744 107468531092 132268961344 214937062184 349272726049 429874124368 698545452098 859748248736 1397090904196 1719496497472 2794181808392 5588363616784 11176727233568 22353454467136