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22552112365920 = 253454143987029
BaseRepresentation
bin1010010000010110100101…
…01001011000000101100000
32221211221221111010112210000
411020023102221120011200
510423443211231202140
6115544144123140000
74515223240141314
oct510132251300540
987757844115700
1022552112365920
11720532a553125
122642900974600
13c77869263147
1457d757009b44
152919739e7a30
hex1482d2a58160

22552112365920 has 480 divisors, whose sum is σ = 83427550002720. Its totient is φ = 5730763530240.

The previous prime is 22552112365907. The next prime is 22552112365931. The reversal of 22552112365920 is 2956321125522.

22552112365920 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 21 + 1 + 2 + 36 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 22354966 + ... + 23341994.

It is an arithmetic number, because the mean of its divisors is an integer number (173807395839).

Almost surely, 222552112365920 is an apocalyptic number.

22552112365920 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 22552112365920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41713775001360).

22552112365920 is an abundant number, since it is smaller than the sum of its proper divisors (60875437636800).

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

22552112365920 is a wasteful number, since it uses less digits than its factorization.

22552112365920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987140 (or 987123 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 22552112365920 in words is "twenty-two trillion, five hundred fifty-two billion, one hundred twelve million, three hundred sixty-five thousand, nine hundred twenty".