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22856914656 = 2532661120067
BaseRepresentation
bin10101010010011000…
…001101011011100000
32011222221022120101200
4111102120031123200
5333302332232111
614300023001200
71436262366102
oct252230153340
964887276350
1022856914656
11976a150314
12451a899200
132203541694
14116b8c3572
158db999256
hex55260d6e0

22856914656 has 72 divisors (see below), whose sum is σ = 65098228104. Its totient is φ = 7607381760.

The previous prime is 22856914649. The next prime is 22856914657. The reversal of 22856914656 is 65641965822.

22856914656 is a `hidden beast` number, since 2 + 2 + 8 + 569 + 14 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22856914657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130335 + ... + 250401.

It is an arithmetic number, because the mean of its divisors is an integer number (904142057).

Almost surely, 222856914656 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 22856914656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32549114052).

22856914656 is an abundant number, since it is smaller than the sum of its proper divisors (42241313448).

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

22856914656 is a wasteful number, since it uses less digits than its factorization.

22856914656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120744 (or 120733 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 22856914656 in words is "twenty-two billion, eight hundred fifty-six million, nine hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 661 1322 1983 2644 3966 5288 5949 7932 10576 11898 15864 21152 23796 31728 47592 63456 95184 120067 190368 240134 360201 480268 720402 960536 1080603 1440804 1921072 2161206 2881608 3842144 4322412 5763216 8644824 11526432 17289648 34579296 79364287 158728574 238092861 317457148 476185722 634914296 714278583 952371444 1269828592 1428557166 1904742888 2539657184 2857114332 3809485776 5714228664 7618971552 11428457328 22856914656