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9019422720 = 2113257113141
BaseRepresentation
bin10000110011001100…
…10111100000000000
3212021120122010222100
420121212113200000
5121432433011340
64050553310400
7436336554030
oct103146274000
925246563870
109019422720
113909257870
1218b8705400
13b097c0a29
14617c2d8c0
1537bc66830
hex219997800

9019422720 has 1152 divisors, whose sum is σ = 41211555840. Its totient is φ = 1769472000.

The previous prime is 9019422677. The next prime is 9019422757. The reversal of 9019422720 is 272249109.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219985900 + ... + 219985940.

It is an arithmetic number, because the mean of its divisors is an integer number (35773920).

Almost surely, 29019422720 is an apocalyptic number.

9019422720 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 9019422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20605777920).

9019422720 is an abundant number, since it is smaller than the sum of its proper divisors (32192133120).

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

9019422720 is a wasteful number, since it uses less digits than its factorization.

9019422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 9019422720 is about 94970.6413582640. The cubic root of 9019422720 is about 2081.5790770402.

The spelling of 9019422720 in words is "nine billion, nineteen million, four hundred twenty-two thousand, seven hundred twenty".