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22975429680 = 243457310337
BaseRepresentation
bin10101011001011100…
…010011110000110000
32012022012022202110000
4111121130103300300
5334023202222210
614315455110000
71442231634000
oct253134236060
965265282400
1022975429680
119820038415
124552512300
132221c68708
14117d534000
158e70a9ac0
hex559713c30

22975429680 has 400 divisors, whose sum is σ = 93066811200. Its totient is φ = 5251018752.

The previous prime is 22975429643. The next prime is 22975429681. The reversal of 22975429680 is 8692457922.

22975429680 is a `hidden beast` number, since 2 + 2 + 9 + 7 + 542 + 96 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22975429681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2217472 + ... + 2227808.

It is an arithmetic number, because the mean of its divisors is an integer number (232667028).

Almost surely, 222975429680 is an apocalyptic number.

22975429680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22975429680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46533405600).

22975429680 is an abundant number, since it is smaller than the sum of its proper divisors (70091381520).

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

22975429680 is a wasteful number, since it uses less digits than its factorization.

22975429680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10383 (or 10354 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 22975429680 in words is "twenty-two billion, nine hundred seventy-five million, four hundred twenty-nine thousand, six hundred eighty".