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22140234688 = 2611136736107
BaseRepresentation
bin10100100111101010…
…010010101111000000
32010010222202110022011
4110213222102233000
5330320400002223
614100542022304
71412440614115
oct244752225700
963128673264
1022140234688
119431649020
12435a877994
13211ac120b0
14110064690c
15898ace80d
hex527a92bc0

22140234688 has 112 divisors (see below), whose sum is σ = 52387219584. Its totient is φ = 9150704640.

The previous prime is 22140234679. The next prime is 22140234719. The reversal of 22140234688 is 88643204122.

It is a self number, because there is not a number n which added to its sum of digits gives 22140234688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595131 + ... + 631237.

It is an arithmetic number, because the mean of its divisors is an integer number (467743032).

Almost surely, 222140234688 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 22140234688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26193609792).

22140234688 is an abundant number, since it is smaller than the sum of its proper divisors (30246984896).

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

22140234688 is a wasteful number, since it uses less digits than its factorization.

22140234688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36210 (or 36200 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 22140234688 in words is "twenty-two billion, one hundred forty million, two hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 67 88 104 134 143 176 208 268 286 352 416 536 572 704 737 832 871 1072 1144 1474 1742 2144 2288 2948 3484 4288 4576 5896 6968 9152 9581 11792 13936 19162 23584 27872 36107 38324 47168 55744 72214 76648 144428 153296 288856 306592 397177 469391 577712 613184 794354 938782 1155424 1588708 1877564 2310848 2419169 3177416 3755128 4838338 5163301 6354832 7510256 9676676 10326602 12709664 15020512 19353352 20653204 25419328 26610859 30041024 31449197 38706704 41306408 53221718 62898394 77413408 82612816 106443436 125796788 154826816 165225632 212886872 251593576 330451264 345941167 425773744 503187152 691882334 851547488 1006374304 1383764668 1703094976 2012748608 2767529336 5535058672 11070117344 22140234688