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22928264352 = 253475932131
BaseRepresentation
bin10101010110101000…
…011000110010100000
32012011220120111210000
4111112220120302200
5333424113424402
614311052140000
71441120013520
oct252650306240
965156514700
1022928264352
1197a6453404
12453a767600
132215263636
141177177680
158e2d8ec1c
hex556a18ca0

22928264352 has 240 divisors, whose sum is σ = 77230625472. Its totient is φ = 6536816640.

The previous prime is 22928264297. The next prime is 22928264363. The reversal of 22928264352 is 25346282922.

22928264352 is a `hidden beast` number, since 2 + 292 + 8 + 2 + 6 + 4 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22928264298 and 22928264307.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10758327 + ... + 10760457.

Almost surely, 222928264352 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 22928264352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38615312736).

22928264352 is an abundant number, since it is smaller than the sum of its proper divisors (54302361120).

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

22928264352 is a wasteful number, since it uses less digits than its factorization.

22928264352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2736 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 22928264352 in words is "twenty-two billion, nine hundred twenty-eight million, two hundred sixty-four thousand, three hundred fifty-two".