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22952757240 = 23335721114389
BaseRepresentation
bin10101011000000101…
…110100011111111000
32012020121122212201000
4111120011310133320
5334001401212430
614313325125000
71441535134410
oct253005643770
965217585630
1022952757240
119809262266
1245469b9760
13221a35aa7a
14117a511640
158e50cbe60
hex5581747f8

22952757240 has 256 divisors, whose sum is σ = 87859584000. Its totient is φ = 5221117440.

The previous prime is 22952757229. The next prime is 22952757253. The reversal of 22952757240 is 4275725922.

22952757240 is a `hidden beast` number, since 2 + 29 + 52 + 7 + 572 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1587966 + ... + 1602354.

It is an arithmetic number, because the mean of its divisors is an integer number (343201500).

Almost surely, 222952757240 is an apocalyptic number.

22952757240 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 22952757240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43929792000).

22952757240 is an abundant number, since it is smaller than the sum of its proper divisors (64906826760).

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

22952757240 is a wasteful number, since it uses less digits than its factorization.

22952757240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14627 (or 14617 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 22952757240 in words is "twenty-two billion, nine hundred fifty-two million, seven hundred fifty-seven thousand, two hundred forty".