225205440 has 56 divisors (see below), whose sum is σ = 715030320. Its totient is φ = 60054528.

The previous prime is 225205433. The next prime is 225205441. The reversal of 225205440 is 44502522.

It is a happy number.

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 225205440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225205441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116335 + ... + 118254.

Almost surely, 2^225205440 is an apocalyptic number.

225205440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225205440 is an abundant number, since it is smaller than the sum of its proper divisors (489824880).

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

225205440 is a wasteful number, since it uses less digits than its factorization.

225205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234609 (or 234599 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 225205440 is about 15006.8464375431. The cubic root of 225205440 is about 608.4052584418.

Adding to 225205440 its reverse (44502522), we get a palindrome (269707962).

The spelling of 225205440 in words is "two hundred twenty-five million, two hundred five thousand, four hundred forty".