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22828363008 = 2831137199367
BaseRepresentation
bin10101010000101011…
…010010110100000000
32011220221120222220020
4111100223102310000
5333223030104013
614253123013440
71435464612123
oct252053226400
964827528806
1022828363008
11975501a010
12451120a280
1321ca655a09
141167bb03ba
158d9209623
hex550ad2d00

22828363008 has 288 divisors, whose sum is σ = 68599910400. Its totient is φ = 6678650880.

The previous prime is 22828362989. The next prime is 22828363021. The reversal of 22828363008 is 80036382822.

It is a super-2 number, since 2×228283630082 (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 62202441 + ... + 62202807.

Almost surely, 222828363008 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 22828363008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34299955200).

22828363008 is an abundant number, since it is smaller than the sum of its proper divisors (45771547392).

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

22828363008 is a wasteful number, since it uses less digits than its factorization.

22828363008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 22828363008 in words is "twenty-two billion, eight hundred twenty-eight million, three hundred sixty-three thousand, eight".