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22166376960 = 2935721323197
BaseRepresentation
bin10100101001001110…
…000001001000000000
32010012210221121202110
4110221032001020000
5330344043030320
614103314215320
71413206044500
oct245116011000
963183847673
1022166376960
119445384102
124367584540
1321234661b0
141103ccda00
1589b0455e0
hex529381200

22166376960 has 960 divisors, whose sum is σ = 93103540992. Its totient is φ = 4450811904.

The previous prime is 22166376941. The next prime is 22166376997. The reversal of 22166376960 is 6967366122.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112519582 + ... + 112519778.

Almost surely, 222166376960 is an apocalyptic number.

22166376960 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 22166376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46551770496).

22166376960 is an abundant number, since it is smaller than the sum of its proper divisors (70937164032).

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

22166376960 is a wasteful number, since it uses less digits than its factorization.

22166376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 22166376960 in words is "twenty-two billion, one hundred sixty-six million, three hundred seventy-six thousand, nine hundred sixty".