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22495331040 = 25357133137449
BaseRepresentation
bin10100111100110100…
…111000001011100000
32011001201221012220220
4110330310320023200
5332032301043130
614200105003040
71424312105340
oct247464701340
964051835826
1022495331040
1195a4034186
124439783480
132176660b90
14113587cd20
158b9d73410
hex53cd382e0

22495331040 has 768 divisors, whose sum is σ = 92665036800. Its totient is φ = 4459069440.

The previous prime is 22495331017. The next prime is 22495331069. The reversal of 22495331040 is 4013359422.

It is a junction number, because it is equal to n+sod(n) for n = 22495330992 and 22495331010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50100736 + ... + 50101184.

It is an arithmetic number, because the mean of its divisors is an integer number (120657600).

Almost surely, 222495331040 is an apocalyptic number.

22495331040 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 22495331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46332518400).

22495331040 is an abundant number, since it is smaller than the sum of its proper divisors (70169705760).

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

22495331040 is a wasteful number, since it uses less digits than its factorization.

22495331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 22495331040 in words is "twenty-two billion, four hundred ninety-five million, three hundred thirty-one thousand, forty".