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22532407040 = 2851121319231
BaseRepresentation
bin10100111111000010…
…010011111100000000
32011011022200212122002
4110333002103330000
5332121244011130
614203511403132
71425242204543
oct247702237400
964138625562
1022532407040
119612a57a00
12444a0834a8
132181242840
14113a77085a
158bd248b45
hex53f093f00

22532407040 has 648 divisors, whose sum is σ = 69602811264. Its totient is φ = 6934118400.

The previous prime is 22532406997. The next prime is 22532407063. The reversal of 22532407040 is 4070423522.

It is a junction number, because it is equal to n+sod(n) for n = 22532406994 and 22532407012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 726851825 + ... + 726851855.

Almost surely, 222532407040 is an apocalyptic number.

22532407040 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 22532407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34801405632).

22532407040 is an abundant number, since it is smaller than the sum of its proper divisors (47070404224).

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

22532407040 is a wasteful number, since it uses less digits than its factorization.

22532407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The spelling of 22532407040 in words is "twenty-two billion, five hundred thirty-two million, four hundred seven thousand, forty".