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22572469440 = 26325172631753
BaseRepresentation
bin10101000001011011…
…001000110011000000
32011021010002020220200
4111001123020303000
5332212023010230
614211502205200
71426236552543
oct250133106300
964233066820
1022572469440
119633630424
12445b583800
13218962b8c1
141141bdc85a
158c1a0e160
hex5416c8cc0

22572469440 has 336 divisors, whose sum is σ = 82566589248. Its totient is φ = 5640486912.

The previous prime is 22572469427. The next prime is 22572469441. The reversal of 22572469440 is 4496427522.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22572469441) 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 47 ways as a sum of consecutive naturals, for example, 12875604 + ... + 12877356.

Almost surely, 222572469440 is an apocalyptic number.

22572469440 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 22572469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41283294624).

22572469440 is an abundant number, since it is smaller than the sum of its proper divisors (59994119808).

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

22572469440 is a wasteful number, since it uses less digits than its factorization.

22572469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 22572469440 in words is "twenty-two billion, five hundred seventy-two million, four hundred sixty-nine thousand, four hundred forty".