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22276967328 = 2534711273139
BaseRepresentation
bin10100101111110011…
…111000101110100000
32010111112001012020000
4110233303320232200
5331110400423303
614122304420000
71416021045420
oct245763705640
963445035200
1022276967328
1194a1849300
124398617600
132140347195
14111487a480
158a5adcda3
hex52fcf8ba0

22276967328 has 720 divisors, whose sum is σ = 84028633920. Its totient is φ = 5665904640.

The previous prime is 22276967311. The next prime is 22276967357. The reversal of 22276967328 is 82376967222.

22276967328 is a `hidden beast` number, since 2 + 227 + 6 + 96 + 7 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 119 ways as a sum of consecutive naturals, for example, 160265883 + ... + 160266021.

It is an arithmetic number, because the mean of its divisors is an integer number (116706436).

Almost surely, 222276967328 is an apocalyptic number.

22276967328 is a gapful number since it is divisible by the number (28) 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 22276967328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42014316960).

22276967328 is an abundant number, since it is smaller than the sum of its proper divisors (61751666592).

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

22276967328 is a wasteful number, since it uses less digits than its factorization.

22276967328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 235 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 22276967328 in words is "twenty-two billion, two hundred seventy-six million, nine hundred sixty-seven thousand, three hundred twenty-eight".