22553280 has 168 divisors, whose sum is σ = 79881984. Its totient is φ = 5836800.

The previous prime is 22553269. The next prime is 22553291. The reversal of 22553280 is 8235522.

It is an interprime number because it is at equal distance from previous prime (22553269) and next prime (22553291).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117985 + ... + 118175.

It is an arithmetic number, because the mean of its divisors is an integer number (475488).

Almost surely, 2^22553280 is an apocalyptic number.

22553280 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 22553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39940992).

22553280 is an abundant number, since it is smaller than the sum of its proper divisors (57328704).

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

22553280 is a wasteful number, since it uses less digits than its factorization.

22553280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 22553280 is about 4749.0293745143. The cubic root of 22553280 is about 282.5334703340.

The spelling of 22553280 in words is "twenty-two million, five hundred fifty-three thousand, two hundred eighty".