225452200 has 48 divisors (see below), whose sum is σ = 529413660. Its totient is φ = 89280000.

The previous prime is 225452197. The next prime is 225452209. The reversal of 225452200 is 2254522.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 75585636 + 149866564 = 8694^2 + 12242^2 .

It is not an unprimeable number, because it can be changed into a prime (225452209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14620 + ... + 25780.

Almost surely, 2^225452200 is an apocalyptic number.

225452200 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 225452200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264706830).

225452200 is an abundant number, since it is smaller than the sum of its proper divisors (303961460).

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

225452200 is a wasteful number, since it uses less digits than its factorization.

225452200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11278 (or 11269 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 225452200 is about 15015.0657674217. The cubic root of 225452200 is about 608.6273893724.

Multiplying 225452200 by its reverse (2254522), we get a square (508286944848400 = 22545220²).

225452200 divided by its reverse (2254522) gives a square (100 = 10²).

The spelling of 225452200 in words is "two hundred twenty-five million, four hundred fifty-two thousand, two hundred".