22456320 has 192 divisors, whose sum is σ = 77837760. Its totient is φ = 5505024.

The previous prime is 22456319. The next prime is 22456321. The reversal of 22456320 is 2365422.

It is an interprime number because it is at equal distance from previous prime (22456319) and next prime (22456321).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (22456321) 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, 522219 + ... + 522261.

It is an arithmetic number, because the mean of its divisors is an integer number (405405).

Almost surely, 2^22456320 is an apocalyptic number.

22456320 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 22456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38918880).

22456320 is an abundant number, since it is smaller than the sum of its proper divisors (55381440).

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

22456320 is a wasteful number, since it uses less digits than its factorization.

22456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 22456320 is about 4738.8099771989. The cubic root of 22456320 is about 282.1280038571.

The spelling of 22456320 in words is "twenty-two million, four hundred fifty-six thousand, three hundred twenty".