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22338910656 = 2632172997811
BaseRepresentation
bin10100110011100000…
…001011100111000000
32010122211121020111100
4110303200023213000
5331222230120111
614132400214400
71420402415256
oct246340134700
963584536440
1022338910656
119523807237
1243b530a400
13215012483a
14111cba25d6
158ab276756
hex53380b9c0

22338910656 has 336 divisors, whose sum is σ = 70945187040. Its totient is φ = 6688604160.

The previous prime is 22338910631. The next prime is 22338910661. The reversal of 22338910656 is 65601983322.

It is a super-5 number, since 5×223389106565 (a number of 53 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27544491 + ... + 27545301.

It is an arithmetic number, because the mean of its divisors is an integer number (211146390).

Almost surely, 222338910656 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 22338910656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35472593520).

22338910656 is an abundant number, since it is smaller than the sum of its proper divisors (48606276384).

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

22338910656 is a wasteful number, since it uses less digits than its factorization.

22338910656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 22338910656 in words is "twenty-two billion, three hundred thirty-eight million, nine hundred ten thousand, six hundred fifty-six".