22725280 has 48 divisors (see below), whose sum is σ = 54064584. Its totient is φ = 9026560.

The previous prime is 22725271. The next prime is 22725281. The reversal of 22725280 is 8252722.

It can be written as a sum of positive squares in 4 ways, for example, as 20178064 + 2547216 = 4492^2 + 1596^2 .

It is not an unprimeable number, because it can be changed into a prime (22725281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27270 + ... + 28090.

Almost surely, 2^22725280 is an apocalyptic number.

22725280 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 22725280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27032292).

22725280 is an abundant number, since it is smaller than the sum of its proper divisors (31339304).

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

22725280 is a wasteful number, since it uses less digits than its factorization.

22725280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 22725280 is about 4767.1039426469. The cubic root of 22725280 is about 283.2498885373.

It can be divided in two parts, 22725 and 280, that added together give a triangular number (23005 = T₂₁₄).

The spelling of 22725280 in words is "twenty-two million, seven hundred twenty-five thousand, two hundred eighty".