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222064080 = 24357223821
BaseRepresentation
bin11010011110001…
…10110111010000
3120110212000122120
431033012313100
5423322022310
634011334240
75334341100
oct1517066720
9513760576
10222064080
11104393037
1262451380
1337011084
14216c7200
1514766b70
hexd3c6dd0

222064080 has 240 divisors, whose sum is σ = 836625024. Its totient is φ = 48491520.

The previous prime is 222064043. The next prime is 222064099. The reversal of 222064080 is 80460222.

222064080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 222064080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270070 + ... + 270890.

Almost surely, 2222064080 is an apocalyptic number.

222064080 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 222064080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418312512).

222064080 is an abundant number, since it is smaller than the sum of its proper divisors (614560944).

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

222064080 is a wasteful number, since it uses less digits than its factorization.

222064080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 222064080 is about 14901.8146545983. The cubic root of 222064080 is about 605.5631484364.

The spelling of 222064080 in words is "two hundred twenty-two million, sixty-four thousand, eighty".