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222676091172864 = 2113472196832111
BaseRepresentation
bin110010101000010111010001…
…010100000111100000000000
31002012102121220122202112220000
4302220113101110013200000
5213141311113320012424
62105331552320520000
764621550060106600
oct6250272124074000
91065377818675800
10222676091172864
1164a5144434a09a
1220b84150480000
13973335ab1a604
143cdb81a570c00
151ab24b1ec83c9
hexca85d1507800

222676091172864 has 1440 divisors, whose sum is σ = 816007486694400. Its totient is φ = 60156469739520.

The previous prime is 222676091172859. The next prime is 222676091172907. The reversal of 222676091172864 is 468271190676222.

222676091172864 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 7 + 609 + 1 + 17 + 2 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 105483699169 + ... + 105483701279.

It is an arithmetic number, because the mean of its divisors is an integer number (566671865760).

Almost surely, 2222676091172864 is an apocalyptic number.

222676091172864 is a gapful number since it is divisible by the number (24) 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 222676091172864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408003743347200).

222676091172864 is an abundant number, since it is smaller than the sum of its proper divisors (593331395521536).

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

222676091172864 is a wasteful number, since it uses less digits than its factorization.

222676091172864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 222676091172864 in words is "two hundred twenty-two trillion, six hundred seventy-six billion, ninety-one million, one hundred seventy-two thousand, eight hundred sixty-four".