Search a number
-
+
22156475040 = 25325721013109
BaseRepresentation
bin10100101000101000…
…001111101010100000
32010012010022112212200
4110220220033222200
5330334024200130
614102322053200
71413025634100
oct245050175240
963163275780
1022156475040
11943a8306a7
1243641aa200
1321213aa17b
141102873200
1589a23b760
hex528a0faa0

22156475040 has 432 divisors, whose sum is σ = 88852687560. Its totient is φ = 5012582400.

The previous prime is 22156475009. The next prime is 22156475119. The reversal of 22156475040 is 4057465122.

It is a happy number.

22156475040 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 647 + 5 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19607840784 + 2548634256 = 140028^2 + 50484^2 .

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 = 22156474986 and 22156475004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7125006 + ... + 7128114.

Almost surely, 222156475040 is an apocalyptic number.

22156475040 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 22156475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44426343780).

22156475040 is an abundant number, since it is smaller than the sum of its proper divisors (66696212520).

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

22156475040 is a wasteful number, since it uses less digits than its factorization.

22156475040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 22156475040 in words is "twenty-two billion, one hundred fifty-six million, four hundred seventy-five thousand, forty".