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22431045840 = 24357195313259
BaseRepresentation
bin10100111000111111…
…101001100011010000
32010220020222012012120
4110320333221203100
5331414321431330
614145451054240
71422601513050
oct247077514320
963806865176
1022431045840
119570816815
124420141380
1321662435b8
14112b107560
158b43c5c10
hex538fe98d0

22431045840 has 320 divisors, whose sum is σ = 85237401600. Its totient is φ = 4765243392.

The previous prime is 22431045827. The next prime is 22431045841. The reversal of 22431045840 is 4854013422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22431045841) 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, 1685131 + ... + 1698389.

It is an arithmetic number, because the mean of its divisors is an integer number (266366880).

Almost surely, 222431045840 is an apocalyptic number.

22431045840 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 22431045840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42618700800).

22431045840 is an abundant number, since it is smaller than the sum of its proper divisors (62806355760).

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

22431045840 is a wasteful number, since it uses less digits than its factorization.

22431045840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13354 (or 13348 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 22431045840 in words is "twenty-two billion, four hundred thirty-one million, forty-five thousand, eight hundred forty".