22180960 has 48 divisors (see below), whose sum is σ = 52796016. Its totient is φ = 8805888.

The previous prime is 22180943. The next prime is 22180973. The reversal of 22180960 is 6908122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24679 + ... + 25561.

It is an arithmetic number, because the mean of its divisors is an integer number (1099917).

Almost surely, 2^22180960 is an apocalyptic number.

22180960 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 22180960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26398008).

22180960 is an abundant number, since it is smaller than the sum of its proper divisors (30615056).

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

22180960 is a wasteful number, since it uses less digits than its factorization.

22180960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 22180960 is about 4709.6666548706. Note that the first 4 decimals coincide. The cubic root of 22180960 is about 280.9701044254.

The spelling of 22180960 in words is "twenty-two million, one hundred eighty thousand, nine hundred sixty".