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22132202029984 = 2537128291457069
BaseRepresentation
bin1010000100001000011100…
…00010100100001110100000
32220100211002012202022111201
411002010032002210032200
510400103222204424414
6115023220535250544
74442666412156544
oct502041602441640
986324065668451
1022132202029984
11706323a073742
122595451819a54
13c470999b2247
145672c0821a24
15285a99195574
hex14210e0a43a0

22132202029984 has 48 divisors (see below), whose sum is σ = 44753934191400. Its totient is φ = 10766170543104.

The previous prime is 22132202029937. The next prime is 22132202029997. The reversal of 22132202029984 is 48992020223122.

It can be written as a sum of positive squares in 4 ways, for example, as 18840981984400 + 3291220045584 = 4340620^2 + 1814172^2 .

It is a super-3 number, since 3×221322020299843 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14461002 + ... + 15918070.

Almost surely, 222132202029984 is an apocalyptic number.

It is an amenable number.

22132202029984 is an abundant number, since it is smaller than the sum of its proper divisors (22621732161416).

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

22132202029984 is a wasteful number, since it uses less digits than its factorization.

22132202029984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469945 (or 1469937 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 22132202029984 in words is "twenty-two trillion, one hundred thirty-two billion, two hundred two million, twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 12829 25658 51316 102632 205264 410528 474673 949346 1457069 1898692 2914138 3797384 5828276 7594768 11656552 15189536 23313104 46626208 53911553 107823106 215646212 431292424 862584848 1725169696 18692738201 37385476402 74770952804 149541905608 299083811216 598167622432 691631313437 1383262626874 2766525253748 5533050507496 11066101014992 22132202029984