22320480 has 288 divisors, whose sum is σ = 89286624. Its totient is φ = 4644864.

The previous prime is 22320461. The next prime is 22320499. The reversal of 22320480 is 8402322.

It is an interprime number because it is at equal distance from previous prime (22320461) and next prime (22320499).

It is a super-3 number, since 3×22320480³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305724 + ... + 305796.

It is an arithmetic number, because the mean of its divisors is an integer number (310023).

Almost surely, 2^22320480 is an apocalyptic number.

22320480 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 22320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44643312).

22320480 is an abundant number, since it is smaller than the sum of its proper divisors (66966144).

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

22320480 is a wasteful number, since it uses less digits than its factorization.

22320480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 103 counting only the distinct ones).

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

The square root of 22320480 is about 4724.4555241848. The cubic root of 22320480 is about 281.5579816352.

The spelling of 22320480 in words is "twenty-two million, three hundred twenty thousand, four hundred eighty".