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226132282413884 = 2271118311271331541
BaseRepresentation
bin110011011010101010000110…
…010111011001001100111100
31002122200000221120022222222202
4303122222012113121030330
5214114422403244221014
62120535423021531032
765426342522663060
oct6332520627311474
91078600846288882
10226132282413884
1166064187191230
1221441b4ba13a78
13992424b602892
143dbac0a30baa0
151b223462bc3de
hexcdaa865d933c

226132282413884 has 96 divisors (see below), whose sum is σ = 493703466826752. Its totient is φ = 88045651008000.

The previous prime is 226132282413769. The next prime is 226132282413893. The reversal of 226132282413884 is 488314282231622.

It is a super-2 number, since 2×2261322824138842 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 7169455154 + ... + 7169486694.

It is an arithmetic number, because the mean of its divisors is an integer number (5142744446112).

Almost surely, 2226132282413884 is an apocalyptic number.

It is an amenable number.

226132282413884 is an abundant number, since it is smaller than the sum of its proper divisors (267571184412868).

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

226132282413884 is a wasteful number, since it uses less digits than its factorization.

226132282413884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46107 (or 46105 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 56.

The spelling of 226132282413884 in words is "two hundred twenty-six trillion, one hundred thirty-two billion, two hundred eighty-two million, four hundred thirteen thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 1831 3662 7324 12713 12817 20141 25426 25634 31541 40282 50852 51268 63082 80564 88991 126164 139843 140987 177982 220787 279686 281974 346951 355964 441574 559372 563948 693902 883148 978901 1387804 1957802 2428657 3915604 4857314 9714628 23277503 46555006 57751571 93110012 115503142 162942521 231006284 256052533 325885042 400980733 404260997 512105066 635267281 651770084 801961466 808521994 1024210132 1270534562 1603922932 1617043988 1792367731 2541069124 2806865131 3584735462 4410788063 4446870967 5613730262 7169470924 8821576126 8893741934 11227460524 17643152252 17787483868 30875516441 61751032882 123502065764 734195722123 1468391444246 2936782888492 5139370054861 8076152943353 10278740109722 16152305886706 20557480219444 32304611773412 56533070603471 113066141206942 226132282413884