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22938092352 = 2633718110477
BaseRepresentation
bin10101010111001101…
…111000001101000000
32012012121001211021000
4111113031320031000
5333434122423402
614312042532000
71441266365550
oct252715701500
965177054230
1022938092352
119800a5631a
124541b07000
1322172c4b16
1411785b5160
158e3b81c1c
hex557378340

22938092352 has 224 divisors, whose sum is σ = 77500317440. Its totient is φ = 6516910080.

The previous prime is 22938092351. The next prime is 22938092369. The reversal of 22938092352 is 25329083922.

22938092352 is a `hidden beast` number, since 2 + 293 + 8 + 0 + 9 + 2 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 22938092298 and 22938092307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22938092351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2184138 + ... + 2194614.

It is an arithmetic number, because the mean of its divisors is an integer number (345983560).

Almost surely, 222938092352 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 22938092352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38750158720).

22938092352 is an abundant number, since it is smaller than the sum of its proper divisors (54562225088).

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

22938092352 is a wasteful number, since it uses less digits than its factorization.

22938092352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10686 (or 10670 counting only the distinct ones).

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

The spelling of 22938092352 in words is "twenty-two billion, nine hundred thirty-eight million, ninety-two thousand, three hundred fifty-two".