225564240 has 160 divisors (see below), whose sum is σ = 780950016. Its totient is φ = 53383680.

The previous prime is 225564223. The next prime is 225564263. The reversal of 225564240 is 42465522.

It is a happy number.

225564240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 225564198 and 225564207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112527 + ... + 114513.

Almost surely, 2^225564240 is an apocalyptic number.

225564240 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 225564240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390475008).

225564240 is an abundant number, since it is smaller than the sum of its proper divisors (555385776).

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

225564240 is a wasteful number, since it uses less digits than its factorization.

225564240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 225564240 is about 15018.7962233995. The cubic root of 225564240 is about 608.7281931790.

It can be divided in two parts, 22556 and 4240, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 225564240 in words is "two hundred twenty-five million, five hundred sixty-four thousand, two hundred forty".