22364160 has 240 divisors, whose sum is σ = 88077696. Its totient is φ = 4718592.

The previous prime is 22364143. The next prime is 22364161. The reversal of 22364160 is 6146322.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 22364160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22364161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1720314 + ... + 1720326.

Almost surely, 2^22364160 is an apocalyptic number.

22364160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22364160 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44038848).

22364160 is an abundant number, since it is smaller than the sum of its proper divisors (65713536).

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

22364160 is an equidigital number, since it uses as much as digits as its factorization.

22364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 22364160 is about 4729.0760196893. The cubic root of 22364160 is about 281.7415266557.

The spelling of 22364160 in words is "twenty-two million, three hundred sixty-four thousand, one hundred sixty".