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22790831040 = 2632517538783
BaseRepresentation
bin10101001110011100…
…000111101111000000
32011211022222011201100
4111032130013233000
5333133423043130
614245302334400
71434530603355
oct251634075700
964738864640
1022790831040
11973591475a
12450072a400
1321c2944653
141162c0062c
158d5c93c60
hex54e707bc0

22790831040 has 336 divisors, whose sum is σ = 84577903488. Its totient is φ = 5611487232.

The previous prime is 22790831029. The next prime is 22790831071. The reversal of 22790831040 is 4013809722.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22790830986 and 22790831004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2590489 + ... + 2599271.

Almost surely, 222790831040 is an apocalyptic number.

22790831040 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 22790831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42288951744).

22790831040 is an abundant number, since it is smaller than the sum of its proper divisors (61787072448).

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

22790831040 is a wasteful number, since it uses less digits than its factorization.

22790831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8876 (or 8863 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 22790831040 in words is "twenty-two billion, seven hundred ninety million, eight hundred thirty-one thousand, forty".