225900900 has 135 divisors (see below), whose sum is σ = 736692649. Its totient is φ = 59879520.

The previous prime is 225900881. The next prime is 225900901. The reversal of 225900900 is 9009522.

The square root of 225900900 is 15030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 81324324 + 144576576 = 9018^2 + 12024^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (225900901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1352617 + ... + 1352783.

Almost surely, 2^225900900 is an apocalyptic number.

225900900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

225900900 is the 15030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225900900

225900900 is an abundant number, since it is smaller than the sum of its proper divisors (510791749).

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

225900900 is a wasteful number, since it uses less digits than its factorization.

225900900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The cubic root of 225900900 is about 609.0308897433.

The spelling of 225900900 in words is "two hundred twenty-five million, nine hundred thousand, nine hundred".