225445200 has 60 divisors (see below), whose sum is σ = 722179968. Its totient is φ = 60118400.

The previous prime is 225445189. The next prime is 225445201. The reversal of 225445200 is 2544522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225445201) 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, 92736 + ... + 95135.

Almost surely, 2^225445200 is an apocalyptic number.

225445200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225445200 is an abundant number, since it is smaller than the sum of its proper divisors (496734768).

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

225445200 is a wasteful number, since it uses less digits than its factorization.

225445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187892 (or 187881 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 225445200 is about 15014.8326664002. The cubic root of 225445200 is about 608.6210902754.

Adding to 225445200 its reverse (2544522), we get a palindrome (227989722).

The spelling of 225445200 in words is "two hundred twenty-five million, four hundred forty-five thousand, two hundred".