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22270509360 = 2434511973221
BaseRepresentation
bin10100101111011011…
…010000000100110000
32010111001220002120000
4110233123100010300
5331102222244420
614121514150000
71415612130501
oct245733200460
963431802500
1022270509360
119499138340
124396422300
13213bbc58b8
141113a78ba8
158a5264690
hex52f6d0130

22270509360 has 400 divisors, whose sum is σ = 85276854432. Its totient is φ = 5341593600.

The previous prime is 22270509347. The next prime is 22270509377. The reversal of 22270509360 is 6390507222.

22270509360 is a `hidden beast` number, since 2 + 22 + 70 + 509 + 3 + 60 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6912550 + ... + 6915770.

Almost surely, 222270509360 is an apocalyptic number.

22270509360 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 22270509360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42638427216).

22270509360 is an abundant number, since it is smaller than the sum of its proper divisors (63006345072).

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

22270509360 is a wasteful number, since it uses less digits than its factorization.

22270509360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 22270509360 in words is "twenty-two billion, two hundred seventy million, five hundred nine thousand, three hundred sixty".