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22423893520 = 2457217973469
BaseRepresentation
bin10100111000100100…
…010111011000010000
32010212202111211001211
4110320210113120100
5331411004043040
614145033505504
71422453643600
oct247044273020
963782454054
1022423893520
119567781106
124419872294
13216490ac62
14112a1a4c00
158b39618ea
hex538917610

22423893520 has 240 divisors, whose sum is σ = 64895690160. Its totient is φ = 7159283712.

The previous prime is 22423893517. The next prime is 22423893589. The reversal of 22423893520 is 2539832422.

It can be written as a sum of positive squares in 8 ways, for example, as 1452219664 + 20971673856 = 38108^2 + 144816^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6462346 + ... + 6465814.

It is an arithmetic number, because the mean of its divisors is an integer number (270398709).

Almost surely, 222423893520 is an apocalyptic number.

22423893520 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 22423893520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32447845080).

22423893520 is an abundant number, since it is smaller than the sum of its proper divisors (42471796640).

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

22423893520 is a wasteful number, since it uses less digits than its factorization.

22423893520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 22423893520 in words is "twenty-two billion, four hundred twenty-three million, eight hundred ninety-three thousand, five hundred twenty".