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22189063680 = 293257178093
BaseRepresentation
bin10100101010100100…
…100011111000000000
32010021101122020002100
4110222210203320000
5330420400014210
614105444350400
71413602633520
oct245244437000
963241566070
1022189063680
119457169a63
1243730a5400
13212807a4a4
141106d17680
1589d0275c0
hex52a923e00

22189063680 has 480 divisors, whose sum is σ = 93002779584. Its totient is φ = 4772855808.

The previous prime is 22189063679. The next prime is 22189063681. The reversal of 22189063680 is 8636098122.

22189063680 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 9 + 0 + 636 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22189063679) and next prime (22189063681).

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22189063681) 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 47 ways as a sum of consecutive naturals, for example, 2737714 + ... + 2745806.

Almost surely, 222189063680 is an apocalyptic number.

22189063680 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 22189063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46501389792).

22189063680 is an abundant number, since it is smaller than the sum of its proper divisors (70813715904).

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

22189063680 is a wasteful number, since it uses less digits than its factorization.

22189063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146 (or 8127 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 22189063680 in words is "twenty-two billion, one hundred eighty-nine million, sixty-three thousand, six hundred eighty".