225414240 has 48 divisors (see below), whose sum is σ = 710056368. Its totient is φ = 60110336.

The previous prime is 225414239. The next prime is 225414253. The reversal of 225414240 is 42414522.

It is a happy number.

225414240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 225414240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234327 + ... + 235286.

It is an arithmetic number, because the mean of its divisors is an integer number (14792841).

Almost surely, 2^225414240 is an apocalyptic number.

225414240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225414240 is an abundant number, since it is smaller than the sum of its proper divisors (484642128).

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

225414240 is a wasteful number, since it uses less digits than its factorization.

225414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469631 (or 469623 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 225414240 is about 15013.8016504815. The cubic root of 225414240 is about 608.5932287055.

Adding to 225414240 its reverse (42414522), we get a palindrome (267828762).

The spelling of 225414240 in words is "two hundred twenty-five million, four hundred fourteen thousand, two hundred forty".