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22056601644 = 2235711273367
BaseRepresentation
bin10100100010101011…
…010000100000101100
32002221011101110100000
4110202223100200230
5330132442223034
614044353304300
71410404010030
oct244253204054
962834343300
1022056601644
119399416300
124336865090
1321067ac19c
1410d34b61c0
158915ae599
hex522ad082c

22056601644 has 432 divisors, whose sum is σ = 73827912704. Its totient is φ = 5635111680.

The previous prime is 22056601643. The next prime is 22056601661. The reversal of 22056601644 is 44610665022.

22056601644 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 6 + 6 + 0 + 1 + 644 = 666.

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 = 22056601599 and 22056601608.

It is not an unprimeable number, because it can be changed into a prime (22056601643) 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 143 ways as a sum of consecutive naturals, for example, 60099549 + ... + 60099915.

Almost surely, 222056601644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22056601644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36913956352).

22056601644 is an abundant number, since it is smaller than the sum of its proper divisors (51771311060).

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

22056601644 is a wasteful number, since it uses less digits than its factorization.

22056601644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 22056601644 in words is "twenty-two billion, fifty-six million, six hundred one thousand, six hundred forty-four".