225040900 has 72 divisors (see below), whose sum is σ = 590962176. Its totient is φ = 72614400.

The previous prime is 225040877. The next prime is 225040903. The reversal of 225040900 is 9040522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (225040903) 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 23 ways as a sum of consecutive naturals, for example, 2445 + ... + 21355.

It is an arithmetic number, because the mean of its divisors is an integer number (8207808).

Almost surely, 2^225040900 is an apocalyptic number.

225040900 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 225040900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295481088).

225040900 is an abundant number, since it is smaller than the sum of its proper divisors (365921276).

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

225040900 is a wasteful number, since it uses less digits than its factorization.

225040900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18949 (or 18942 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 225040900 is about 15001.3632713830. The cubic root of 225040900 is about 608.2570509633.

The spelling of 225040900 in words is "two hundred twenty-five million, forty thousand, nine hundred".