225450225 has 243 divisors, whose sum is σ = 559091169. Its totient is φ = 86486400.

The previous prime is 225450223. The next prime is 225450227. The reversal of 225450225 is 522054522.

The square root of 225450225 is 15015.

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

It is an interprime number because it is at equal distance from previous prime (225450223) and next prime (225450227).

It can be written as a sum of positive squares in 4 ways, for example, as 58110129 + 167340096 = 7623^2 + 12936^2 .

It is not a de Polignac number, because 225450225 - 2¹ = 225450223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225450223) 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 242 ways as a sum of consecutive naturals, for example, 17342319 + ... + 17342331.

Almost surely, 2^225450225 is an apocalyptic number.

225450225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

225450225 is the 15015-th square number.

225450225 is the 7508-th centered octagonal number.

It is an amenable number.

225450225 is an abundant number, since it is smaller than the sum of its proper divisors (333640944).

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

225450225 is a wasteful number, since it uses less digits than its factorization.

225450225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The cubic root of 225450225 is about 608.6256121404.

The spelling of 225450225 in words is "two hundred twenty-five million, four hundred fifty thousand, two hundred twenty-five".