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22425313540 = 225721959137149
BaseRepresentation
bin10100111000101001…
…110010000100000100
32010212212011221222011
4110320221302010010
5331411340013130
614145124144004
71422502006600
oct247051620404
963785157864
1022425313540
119568560a83
12441a238004
132164cb73c6
14112a454500
158b3b4252a
hex538a72104

22425313540 has 288 divisors, whose sum is σ = 59466960000. Its totient is φ = 7060580352.

The previous prime is 22425313523. The next prime is 22425313543. The reversal of 22425313540 is 4531352422.

It is not an unprimeable number, because it can be changed into a prime (22425313543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150505386 + ... + 150505534.

It is an arithmetic number, because the mean of its divisors is an integer number (206482500).

Almost surely, 222425313540 is an apocalyptic number.

22425313540 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 22425313540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29733480000).

22425313540 is an abundant number, since it is smaller than the sum of its proper divisors (37041646460).

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

22425313540 is a wasteful number, since it uses less digits than its factorization.

22425313540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 22425313540 its reverse (4531352422), we get a palindrome (26956665962).

The spelling of 22425313540 in words is "twenty-two billion, four hundred twenty-five million, three hundred thirteen thousand, five hundred forty".