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22557132000 = 25325313157307
BaseRepresentation
bin10101000000100000…
…101000010011100000
32011020001020000220100
4111000200220103200
5332144111211000
614210153342400
71425662313144
oct250040502340
964201200810
1022557132000
119625a05157
124456407a00
1321863bb7b0
14113db69224
158c04cea00
hex5408284e0

22557132000 has 576 divisors, whose sum is σ = 87045102144. Its totient is φ = 5499187200.

The previous prime is 22557131999. The next prime is 22557132001. The reversal of 22557132000 is 23175522.

It is an interprime number because it is at equal distance from previous prime (22557131999) and next prime (22557132001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22557132001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73475847 + ... + 73476153.

It is an arithmetic number, because the mean of its divisors is an integer number (151119969).

Almost surely, 222557132000 is an apocalyptic number.

22557132000 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 22557132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43522551072).

22557132000 is an abundant number, since it is smaller than the sum of its proper divisors (64487970144).

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

22557132000 is a wasteful number, since it uses less digits than its factorization.

22557132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 22557132000 in words is "twenty-two billion, five hundred fifty-seven million, one hundred thirty-two thousand".