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72222142860 = 22335779367659
BaseRepresentation
bin100001101000011000…
…1100111000110001100
320220102021200222211000
41003100301213012030
52140402332032420
653102311100300
75134506041160
oct1032061470614
9226367628730
1072222142860
11286a157597a
1211bb7071690
136a6c92c89a
1436d1bb8ca0
151d2a753690
hex10d0c6718c

72222142860 has 384 divisors, whose sum is σ = 261144576000. Its totient is φ = 16229880576.

The previous prime is 72222142843. The next prime is 72222142913. The reversal of 72222142860 is 6824122227.

72222142860 is a `hidden beast` number, since 7 + 2 + 2 + 221 + 428 + 6 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 109593211 + ... + 109593869.

It is an arithmetic number, because the mean of its divisors is an integer number (680064000).

Almost surely, 272222142860 is an apocalyptic number.

72222142860 is a gapful number since it is divisible by the number (70) 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 72222142860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130572288000).

72222142860 is an abundant number, since it is smaller than the sum of its proper divisors (188922433140).

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

72222142860 is a wasteful number, since it uses less digits than its factorization.

72222142860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 72222142860 in words is "seventy-two billion, two hundred twenty-two million, one hundred forty-two thousand, eight hundred sixty".