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22256771040 = 25325747109431
BaseRepresentation
bin10100101110100110…
…110101111111100000
32010110010001010010100
4110232212311333200
5331040213133130
614120303502400
71415354301210
oct245646657740
963403033110
1022256771040
119491404559
1243918b7a00
1321390c560a
141111d00240
158a3e4dc60
hex52e9b5fe0

22256771040 has 576 divisors, whose sum is σ = 89669099520. Its totient is φ = 4921896960.

The previous prime is 22256771029. The next prime is 22256771063. The reversal of 22256771040 is 4017765222.

It is a happy number.

22256771040 is a `hidden beast` number, since 2 + 22 + 567 + 71 + 0 + 4 + 0 = 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 = 22256770986 and 22256771004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51639625 + ... + 51640055.

It is an arithmetic number, because the mean of its divisors is an integer number (155675520).

Almost surely, 222256771040 is an apocalyptic number.

22256771040 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 22256771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44834549760).

22256771040 is an abundant number, since it is smaller than the sum of its proper divisors (67412328480).

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

22256771040 is a wasteful number, since it uses less digits than its factorization.

22256771040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 22256771040 in words is "twenty-two billion, two hundred fifty-six million, seven hundred seventy-one thousand, forty".