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22140024000 = 263537312637
BaseRepresentation
bin10100100111101001…
…011111010011000000
32010010222100202021220
4110213221133103000
5330320321232000
614100533315040
71412436045633
oct244751372300
963128322256
1022140024000
1194315147a6
12435a795a80
13211ab6a223
1411005cdc1a
15898a8c1a0
hex527a5f4c0

22140024000 has 224 divisors, whose sum is σ = 74113680576. Its totient is φ = 5822668800.

The previous prime is 22140023963. The next prime is 22140024029. The reversal of 22140024000 is 42004122.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 1745682 + ... + 1758318.

Almost surely, 222140024000 is an apocalyptic number.

22140024000 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 22140024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37056840288).

22140024000 is an abundant number, since it is smaller than the sum of its proper divisors (51973656576).

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

22140024000 is a wasteful number, since it uses less digits than its factorization.

22140024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12740 (or 12720 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 22140024000 its reverse (42004122), we get a palindrome (22182028122).

The spelling of 22140024000 in words is "twenty-two billion, one hundred forty million, twenty-four thousand".