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8222263296 = 211313113911
BaseRepresentation
bin1111010100001010…
…11100100000000000
3210020000122020211020
413222011130200000
5113314344411141
63435515345440
7410520041052
oct75205344000
923200566736
108222263296
11353a287125
121715752280
13a105c3a70
145800038d2
15331ca1266
hex1ea15c800

8222263296 has 192 divisors, whose sum is σ = 23841941760. Its totient is φ = 2504785920.

The previous prime is 8222263211. The next prime is 8222263327. The reversal of 8222263296 is 6923622228.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×82222632962 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9025081 + ... + 9025991.

It is an arithmetic number, because the mean of its divisors is an integer number (124176780).

Almost surely, 28222263296 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 8222263296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11920970880).

8222263296 is an abundant number, since it is smaller than the sum of its proper divisors (15619678464).

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

8222263296 is a wasteful number, since it uses less digits than its factorization.

8222263296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1042 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 8222263296 is about 90676.6965432685. The cubic root of 8222263296 is about 2018.3530096927.

The spelling of 8222263296 in words is "eight billion, two hundred twenty-two million, two hundred sixty-three thousand, two hundred ninety-six".