224525120 has 112 divisors (see below), whose sum is σ = 571957200. Its totient is φ = 83656704.

The previous prime is 224525101. The next prime is 224525159. The reversal of 224525120 is 21525422.

224525120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 22202944 + 202322176 = 4712^2 + 14224^2 .

It is a super-2 number, since 2×224525120² = 100823059022028800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810422 + ... + 810698.

Almost surely, 2^224525120 is an apocalyptic number.

224525120 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 224525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285978600).

224525120 is an abundant number, since it is smaller than the sum of its proper divisors (347432080).

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

224525120 is a wasteful number, since it uses less digits than its factorization.

224525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 224525120 is about 14984.1623055812. The cubic root of 224525120 is about 607.7919994870.

It can be divided in two parts, 22452 and 5120, that added together give a palindrome (27572).

The spelling of 224525120 in words is "two hundred twenty-four million, five hundred twenty-five thousand, one hundred twenty".