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9972218732 = 227331123371
BaseRepresentation
bin10010100100110001…
…11111101101101100
3221201222111012101112
421102120333231230
5130410341444412
64325311131152
7502056314000
oct112230775554
927658435345
109972218732
11425806a593
121b23813ab8
13c2c011358
146a85b0700
153d5721722
hex25263fb6c

9972218732 has 48 divisors (see below), whose sum is σ = 20417779200. Its totient is φ = 4259883600.

The previous prime is 9972218687. The next prime is 9972218827. The reversal of 9972218732 is 2378122799.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415007 + ... + 438377.

It is an arithmetic number, because the mean of its divisors is an integer number (425370400).

Almost surely, 29972218732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9972218732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10208889600).

9972218732 is an abundant number, since it is smaller than the sum of its proper divisors (10445560468).

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

9972218732 is a wasteful number, since it uses less digits than its factorization.

9972218732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23707 (or 23691 counting only the distinct ones).

The product of its digits is 762048, while the sum is 50.

The square root of 9972218732 is about 99860.9970509007. The cubic root of 9972218732 is about 2152.4377420467.

The spelling of 9972218732 in words is "nine billion, nine hundred seventy-two million, two hundred eighteen thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 311 343 622 686 1244 1372 2177 4354 8708 15239 23371 30478 46742 60956 93484 106673 163597 213346 327194 426692 654388 1145179 2290358 4580716 7268381 8016253 14536762 16032506 29073524 32065012 50878667 101757334 203514668 356150669 712301338 1424602676 2493054683 4986109366 9972218732