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22972538880 = 213325101617
BaseRepresentation
bin10101011001010001…
…010010000000000000
32012021222212220000100
4111121101102000000
5334021432221010
614315313122400
71442165234004
oct253121220000
965258786010
1022972538880
119819443525
124551559400
132221495995
14117cdc0704
158e6bd82c0
hex559452000

22972538880 has 336 divisors, whose sum is σ = 80552065464. Its totient is φ = 6055526400.

The previous prime is 22972538863. The next prime is 22972538929. The reversal of 22972538880 is 8883527922.

It is a happy number.

22972538880 is a `hidden beast` number, since 2 + 29 + 7 + 2 + 538 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18115006464 + 4857532416 = 134592^2 + 69696^2 .

It is a super-2 number, since 2×229725388802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37232332 + ... + 37232948.

Almost surely, 222972538880 is an apocalyptic number.

22972538880 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 22972538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40276032732).

22972538880 is an abundant number, since it is smaller than the sum of its proper divisors (57579526584).

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

22972538880 is a wasteful number, since it uses less digits than its factorization.

22972538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 22972538880 in words is "twenty-two billion, nine hundred seventy-two million, five hundred thirty-eight thousand, eight hundred eighty".