225430200 has 288 divisors, whose sum is σ = 822603600. Its totient is φ = 55111680.

The previous prime is 225430181. The next prime is 225430201. The reversal of 225430200 is 2034522.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225430201) 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 71 ways as a sum of consecutive naturals, for example, 1621731 + ... + 1621869.

Almost surely, 2^225430200 is an apocalyptic number.

225430200 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 225430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411301800).

225430200 is an abundant number, since it is smaller than the sum of its proper divisors (597173400).

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

225430200 is a wasteful number, since it uses less digits than its factorization.

225430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 225430200 is about 15014.3331520251. Note that the first 3 decimals coincide. The cubic root of 225430200 is about 608.6075917714.

Adding to 225430200 its reverse (2034522), we get a palindrome (227464722).

The spelling of 225430200 in words is "two hundred twenty-five million, four hundred thirty thousand, two hundred".