225366440 has 64 divisors (see below), whose sum is σ = 558835200. Its totient is φ = 81268992.

The previous prime is 225366413. The next prime is 225366469. The reversal of 225366440 is 44663522.

225366440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 225366397 and 225366406.

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, 17321 + ... + 27399.

It is an arithmetic number, because the mean of its divisors is an integer number (8731800).

Almost surely, 2^225366440 is an apocalyptic number.

225366440 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 225366440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

225366440 is an abundant number, since it is smaller than the sum of its proper divisors (333468760).

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

225366440 is a wasteful number, since it uses less digits than its factorization.

225366440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10146 (or 10142 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 225366440 is about 15012.2096974429. The cubic root of 225366440 is about 608.5502074471.

The spelling of 225366440 in words is "two hundred twenty-five million, three hundred sixty-six thousand, four hundred forty".