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22138307352 = 2332747934579
BaseRepresentation
bin10100100111100010…
…111100001100011000
32010010212010112111100
4110213202330030120
5330314401313402
614100432431400
71412415336060
oct244742741430
963125115440
1022138307352
119430551a87
12435a0a8560
13211a6b8a65
1411002a43a0
1589884d71c
hex5278bc318

22138307352 has 96 divisors (see below), whose sum is σ = 69981350400. Its totient is φ = 6190644672.

The previous prime is 22138307329. The next prime is 22138307353. The reversal of 22138307352 is 25370383122.

22138307352 is a `hidden beast` number, since 221 + 3 + 83 + 0 + 7 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22138307353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443602 + ... + 490977.

It is an arithmetic number, because the mean of its divisors is an integer number (728972400).

Almost surely, 222138307352 is an apocalyptic number.

It is an amenable number.

22138307352 is an abundant number, since it is smaller than the sum of its proper divisors (47843043048).

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

22138307352 is a wasteful number, since it uses less digits than its factorization.

22138307352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934645 (or 934638 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 22138307352 in words is "twenty-two billion, one hundred thirty-eight million, three hundred seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 63 72 84 94 126 141 168 188 252 282 329 376 423 504 564 658 846 987 1128 1316 1692 1974 2632 2961 3384 3948 5922 7896 11844 23688 934579 1869158 2803737 3738316 5607474 6542053 7476632 8411211 11214948 13084106 16822422 19626159 22429896 26168212 33644844 39252318 43925213 52336424 58878477 67289688 78504636 87850426 117756954 131775639 157009272 175700852 235513908 263551278 307476491 351401704 395326917 471027816 527102556 614952982 790653834 922429473 1054205112 1229905964 1581307668 1844858946 2459811928 2767288419 3162615336 3689717892 5534576838 7379435784 11069153676 22138307352