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9422138880 = 2932571147113
BaseRepresentation
bin10001100011001101…
…00110111000000000
3220022122102020200200
420301212212320000
5123244031421010
64154541045200
7452326600440
oct106146467000
926278366620
109422138880
113aa5608440
1219ab556800
13b7207370b
14655500120
153a22b4cc0
hex2319a6e00

9422138880 has 960 divisors, whose sum is σ = 41916745728. Its totient is φ = 1899233280.

The previous prime is 9422138863. The next prime is 9422138923. The reversal of 9422138880 is 888312249.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 83381704 + ... + 83381816.

Almost surely, 29422138880 is an apocalyptic number.

9422138880 is a gapful number since it is divisible by the number (90) 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 9422138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20958372864).

9422138880 is an abundant number, since it is smaller than the sum of its proper divisors (32494606848).

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

9422138880 is a wasteful number, since it uses less digits than its factorization.

9422138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 9422138880 is about 97067.7025585751. The cubic root of 9422138880 is about 2112.1098427719.

The spelling of 9422138880 in words is "nine billion, four hundred twenty-two million, one hundred thirty-eight thousand, eight hundred eighty".