22282320 has 80 divisors (see below), whose sum is σ = 69549120. Its totient is φ = 5901312.

The previous prime is 22282303. The next prime is 22282321. The reversal of 22282320 is 2328222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22282321) 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, 54276 + ... + 54684.

It is an arithmetic number, because the mean of its divisors is an integer number (869364).

Almost surely, 2^22282320 is an apocalyptic number.

22282320 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 22282320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34774560).

22282320 is an abundant number, since it is smaller than the sum of its proper divisors (47266800).

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

22282320 is a wasteful number, since it uses less digits than its factorization.

22282320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 22282320 is about 4720.4152359724. The cubic root of 22282320 is about 281.3974357847.

The spelling of 22282320 in words is "twenty-two million, two hundred eighty-two thousand, three hundred twenty".