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22493976960 = 2735713314153
BaseRepresentation
bin10100111100101111…
…101101100110000000
32011001122101102110210
4110330233231212000
5332031424230320
614200015554120
71424264435520
oct247457554600
964048342423
1022493976960
1195a3299904
12443922b940
1321762a8750
141135609680
158b9ba70e0
hex53cbed980

22493976960 has 512 divisors, whose sum is σ = 91114168320. Its totient is φ = 4591779840.

The previous prime is 22493976919. The next prime is 22493976979. The reversal of 22493976960 is 6967939422.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22493976960.

It is a congruent number.

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, 5414244 + ... + 5418396.

It is an arithmetic number, because the mean of its divisors is an integer number (177957360).

Almost surely, 222493976960 is an apocalyptic number.

22493976960 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 22493976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45557084160).

22493976960 is an abundant number, since it is smaller than the sum of its proper divisors (68620191360).

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

22493976960 is a wasteful number, since it uses less digits than its factorization.

22493976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 57.

The spelling of 22493976960 in words is "twenty-two billion, four hundred ninety-three million, nine hundred seventy-six thousand, nine hundred sixty".