225440 has 24 divisors (see below), whose sum is σ = 532980. Its totient is φ = 90112.

The previous prime is 225431. The next prime is 225457. The reversal of 225440 is 44522.

225440 is digitally balanced in base 3, 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 2 ways, for example, as 190096 + 35344 = 436^2 + 188^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 545 + ... + 864.

2²²⁵⁴⁴⁰ is an apocalyptic number.

225440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225440 is an abundant number, since it is smaller than the sum of its proper divisors (307540).

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

225440 is a wasteful number, since it uses less digits than its factorization.

225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 225440 is about 474.8052232232. The cubic root of 225440 is about 60.8616410862.

Adding to 225440 its reverse (44522), we get a palindrome (269962).

The spelling of 225440 in words is "two hundred twenty-five thousand, four hundred forty".