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22426113667140 = 22325472650840859
BaseRepresentation
bin1010001100101011111001…
…00010011111000001000100
32221101220201102100110112200
411012111330202133001010
510414412140044322030
6115410225301514500
74503143000650221
oct506257442370104
987356642313480
1022426113667140
117166952576907
1226223b8112a30
13c68a09347391
14577603112948
1528d54c0b4d60
hex14657c89f044

22426113667140 has 72 divisors (see below), whose sum is σ = 69473237258880. Its totient is φ = 5853056614464.

The previous prime is 22426113667129. The next prime is 22426113667157. The reversal of 22426113667140 is 4176631162422.

22426113667140 is a `hidden beast` number, since 2 + 2 + 426 + 113 + 6 + 6 + 71 + 40 = 666.

It is a super-2 number, since 2×224261136671402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1325411970 + ... + 1325428889.

It is an arithmetic number, because the mean of its divisors is an integer number (964906073040).

Almost surely, 222426113667140 is an apocalyptic number.

22426113667140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22426113667140 is an abundant number, since it is smaller than the sum of its proper divisors (47047123591740).

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

22426113667140 is a wasteful number, since it uses less digits than its factorization.

22426113667140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650840921 (or 2650840916 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 22426113667140 in words is "twenty-two trillion, four hundred twenty-six billion, one hundred thirteen million, six hundred sixty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 2650840859 5301681718 7952522577 10603363436 13254204295 15905045154 23857567731 26508408590 31810090308 39762612885 47715135462 53016817180 79525225770 95430270924 119287838655 124589520373 159050451540 238575677310 249179040746 373768561119 477151354620 498358081492 622947601865 747537122238 1121305683357 1245895203730 1495074244476 1868842805595 2242611366714 2491790407460 3737685611190 4485222733428 5606528416785 7475371222380 11213056833570 22426113667140