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22134366240 = 253573233577
BaseRepresentation
bin10100100111010011…
…111010000000100000
32010010120201022022020
4110213103322000200
5330312344204430
614100212141440
71412340003000
oct244723720040
963116638266
1022134366240
1194292aaa68
124358907880
132119938c3c
1410dd95a000
15898320b10
hex5274fa020

22134366240 has 384 divisors, whose sum is σ = 81800409600. Its totient is φ = 5028839424.

The previous prime is 22134366239. The next prime is 22134366251. The reversal of 22134366240 is 4266343122.

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, 38360832 + ... + 38361408.

It is an arithmetic number, because the mean of its divisors is an integer number (213021900).

Almost surely, 222134366240 is an apocalyptic number.

22134366240 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 22134366240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40900204800).

22134366240 is an abundant number, since it is smaller than the sum of its proper divisors (59666043360).

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

22134366240 is a wasteful number, since it uses less digits than its factorization.

22134366240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 22134366240 in words is "twenty-two billion, one hundred thirty-four million, three hundred sixty-six thousand, two hundred forty".