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22115880960 = 21235596101
BaseRepresentation
bin10100100110001101…
…011001000000000000
32010002021221011021020
4110212031121000000
5330243131142320
614054312025440
71412023613025
oct244615310000
963067834236
1022115880960
119419924778
124352692280
132115b660c4
1410db30754c
158968bd940
hex526359000

22115880960 has 208 divisors, whose sum is σ = 71973334080. Its totient is φ = 5796659200.

The previous prime is 22115880953. The next prime is 22115880977. The reversal of 22115880960 is 6908851122.

It is a happy number.

It is a super-2 number, since 2×221158809602 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3621910 + ... + 3628010.

Almost surely, 222115880960 is an apocalyptic number.

22115880960 is a gapful number since it is divisible by the number (20) 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 22115880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35986667040).

22115880960 is an abundant number, since it is smaller than the sum of its proper divisors (49857453120).

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

22115880960 is an equidigital number, since it uses as much as digits as its factorization.

22115880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6192 (or 6170 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 22115880960 in words is "twenty-two billion, one hundred fifteen million, eight hundred eighty thousand, nine hundred sixty".