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22087744640 = 2751343107577
BaseRepresentation
bin10100100100100010…
…000011110010000000
32010000022222200111022
4110210202003302000
5330213430312030
614051425005012
71411232505653
oct244442036200
963008880438
1022087744640
119404a57515
124345183768
1321100944b0
1410d76a189a
158941b1de5
hex524883c80

22087744640 has 256 divisors, whose sum is σ = 58833371520. Its totient is φ = 7877689344.

The previous prime is 22087744633. The next prime is 22087744661. The reversal of 22087744640 is 4644778022.

It is a junction number, because it is equal to n+sod(n) for n = 22087744591 and 22087744600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38280032 + ... + 38280608.

Almost surely, 222087744640 is an apocalyptic number.

22087744640 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 22087744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29416685760).

22087744640 is an abundant number, since it is smaller than the sum of its proper divisors (36745626880).

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

22087744640 is a wasteful number, since it uses less digits than its factorization.

22087744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 44.

The spelling of 22087744640 in words is "twenty-two billion, eighty-seven million, seven hundred forty-four thousand, six hundred forty".