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22961904896 = 287217294779
BaseRepresentation
bin10101011000101000…
…101101110100000000
32012021020212121221002
4111120220231310000
5334011221424041
614314253151132
71442005654100
oct253050556400
965236777832
1022961904896
119813440007
124549a8b4a8
13221c211698
14117b813200
158e5cd759b
hex558a2dd00

22961904896 has 432 divisors, whose sum is σ = 60397747200. Its totient is φ = 8641511424.

The previous prime is 22961904887. The next prime is 22961904899. The reversal of 22961904896 is 69840916922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22961904899) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290656985 + ... + 290657063.

It is an arithmetic number, because the mean of its divisors is an integer number (139809600).

Almost surely, 222961904896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22961904896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30198873600).

22961904896 is an abundant number, since it is smaller than the sum of its proper divisors (37435842304).

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

22961904896 is a wasteful number, since it uses less digits than its factorization.

22961904896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 56.

The spelling of 22961904896 in words is "twenty-two billion, nine hundred sixty-one million, nine hundred four thousand, eight hundred ninety-six".