22307328 has 120 divisors (see below), whose sum is σ = 66388608. Its totient is φ = 7206912.

The previous prime is 22307323. The next prime is 22307333. The reversal of 22307328 is 82370322.

It is an interprime number because it is at equal distance from previous prime (22307323) and next prime (22307333).

It is a super-3 number, since 3×22307328³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22307323) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 216525 + ... + 216627.

Almost surely, 2^22307328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33194304).

22307328 is an abundant number, since it is smaller than the sum of its proper divisors (44081280).

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

22307328 is a wasteful number, since it uses less digits than its factorization.

22307328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 22307328 is about 4723.0634126592. The cubic root of 22307328 is about 281.5026695312.

The spelling of 22307328 in words is "twenty-two million, three hundred seven thousand, three hundred twenty-eight".