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22957969320 = 23355111383199
BaseRepresentation
bin10101011000011001…
…101100111110101000
32012020222110200100000
4111120121230332220
5334004220004240
614314032543000
71441630343106
oct253031547650
965228420300
1022957969320
1198111a2170
1245486b1a60
13221b464240
14117b0aac76
158e57ab430
hex55866cfa8

22957969320 has 768 divisors, whose sum is σ = 92461824000. Its totient is φ = 5050045440.

The previous prime is 22957969297. The next prime is 22957969339. The reversal of 22957969320 is 2396975922.

22957969320 is a `hidden beast` number, since 2 + 2 + 9 + 579 + 69 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×229579693202 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115366581 + ... + 115366779.

It is an arithmetic number, because the mean of its divisors is an integer number (120393000).

Almost surely, 222957969320 is an apocalyptic number.

22957969320 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 22957969320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230912000).

22957969320 is an abundant number, since it is smaller than the sum of its proper divisors (69503854680).

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

22957969320 is a wasteful number, since it uses less digits than its factorization.

22957969320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 22957969320 in words is "twenty-two billion, nine hundred fifty-seven million, nine hundred sixty-nine thousand, three hundred twenty".