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22952393680 = 24519234167239
BaseRepresentation
bin10101011000000100…
…011011101111010000
32012020120222101222211
4111120010123233100
5334001303044210
614313313241504
71441532061436
oct253004335720
965216871884
1022952393680
1198090340a7
124546863294
13221a261448
14117a458d56
158e505938a
hex55811bbd0

22952393680 has 320 divisors, whose sum is σ = 61196083200. Its totient is φ = 7962071040.

The previous prime is 22952393663. The next prime is 22952393683. The reversal of 22952393680 is 8639325922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22952393683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96035001 + ... + 96035239.

It is an arithmetic number, because the mean of its divisors is an integer number (191237760).

Almost surely, 222952393680 is an apocalyptic number.

22952393680 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 22952393680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30598041600).

22952393680 is an abundant number, since it is smaller than the sum of its proper divisors (38243689520).

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

22952393680 is a wasteful number, since it uses less digits than its factorization.

22952393680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

The spelling of 22952393680 in words is "twenty-two billion, nine hundred fifty-two million, three hundred ninety-three thousand, six hundred eighty".