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22056363432 = 23321512338707
BaseRepresentation
bin10100100010101010…
…010110010110101000
32002221010221100120100
4110202222112112220
5330132412112212
614044344225400
71410401665365
oct244252262650
962833840510
1022056363432
119399273334
12433676b260
13210672792c
1410d345346c
15891563bdc
hex522a965a8

22056363432 has 96 divisors (see below), whose sum is σ = 60396598080. Its totient is φ = 7271251200.

The previous prime is 22056363379. The next prime is 22056363437. The reversal of 22056363432 is 23436365022.

22056363432 is a `hidden beast` number, since 2 + 2 + 0 + 563 + 63 + 4 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22056363437) 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, 2528823 + ... + 2537529.

It is an arithmetic number, because the mean of its divisors is an integer number (629131230).

Almost surely, 222056363432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22056363432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30198299040).

22056363432 is an abundant number, since it is smaller than the sum of its proper divisors (38340234648).

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

22056363432 is a wasteful number, since it uses less digits than its factorization.

22056363432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9103 (or 9096 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 22056363432 in words is "twenty-two billion, fifty-six million, three hundred sixty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 233 302 453 466 604 699 906 932 1208 1359 1398 1812 1864 2097 2718 2796 3624 4194 5436 5592 8388 8707 10872 16776 17414 26121 34828 35183 52242 69656 70366 78363 104484 105549 140732 156726 208968 211098 281464 313452 316647 422196 626904 633294 844392 1266588 1314757 2028731 2533176 2629514 3944271 4057462 5259028 6086193 7888542 8114924 10518056 11832813 12172386 15777084 16229848 18258579 23665626 24344772 31554168 36517158 47331252 48689544 73034316 94662504 146068632 306338381 612676762 919015143 1225353524 1838030286 2450707048 2757045429 3676060572 5514090858 7352121144 11028181716 22056363432