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22295024640 = 210325769119
BaseRepresentation
bin10100110000111000…
…110001010000000000
32010112210000121012100
4110300320301100000
5331130011242030
614124151430400
71416330403560
oct246070612000
963483017170
1022295024640
119500a61aa9
1243a2685400
132143cca295
14111701ada0
158a74a8360
hex530e31400

22295024640 has 264 divisors, whose sum is σ = 88288911360. Its totient is φ = 5095931904.

The previous prime is 22295024617. The next prime is 22295024659. The reversal of 22295024640 is 4642059222.

It is a happy number.

22295024640 is a `hidden beast` number, since 2 + 2 + 2 + 9 + 5 + 0 + 2 + 4 + 640 = 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 = 22295024595 and 22295024604.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 288001 + ... + 357119.

Almost surely, 222295024640 is an apocalyptic number.

22295024640 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 22295024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44144455680).

22295024640 is an abundant number, since it is smaller than the sum of its proper divisors (65993886720).

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

22295024640 is a wasteful number, since it uses less digits than its factorization.

22295024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69157 (or 69136 counting only the distinct ones).

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

The spelling of 22295024640 in words is "twenty-two billion, two hundred ninety-five million, twenty-four thousand, six hundred forty".