225300100 has 81 divisors (see below), whose sum is σ = 522601317. Its totient is φ = 84296160.

The previous prime is 225300083. The next prime is 225300107. The reversal of 225300100 is 1003522.

The square root of 225300100 is 15010.

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., 81108036 + 144192064 = 9006^2 + 12008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225300107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2851861 + ... + 2851939.

Almost surely, 2^225300100 is an apocalyptic number.

225300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

225300100 is the 15010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225300100

225300100 is an abundant number, since it is smaller than the sum of its proper divisors (297301217).

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

225300100 is a wasteful number, since it uses less digits than its factorization.

225300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The cubic root of 225300100 is about 608.4904896194.

Adding to 225300100 its reverse (1003522), we get a palindrome (226303622).

The spelling of 225300100 in words is "two hundred twenty-five million, three hundred thousand, one hundred".