22152960 has 144 divisors (see below), whose sum is σ = 78734880. Its totient is φ = 5898240.

The previous prime is 22152937. The next prime is 22152971. The reversal of 22152960 is 6925122.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34240 + ... + 34880.

It is an arithmetic number, because the mean of its divisors is an integer number (546770).

Almost surely, 2^22152960 is an apocalyptic number.

22152960 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 22152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39367440).

22152960 is an abundant number, since it is smaller than the sum of its proper divisors (56581920).

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

22152960 is an equidigital number, since it uses as much as digits as its factorization.

22152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 22152960 is about 4706.6931066302. The cubic root of 22152960 is about 280.8518276751.

The spelling of 22152960 in words is "twenty-two million, one hundred fifty-two thousand, nine hundred sixty".