225432000 has 336 divisors, whose sum is σ = 840662784. Its totient is φ = 57600000.

The previous prime is 225431959. The next prime is 225432037. The reversal of 225432000 is 234522.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2231950 + ... + 2232050.

Almost surely, 2^225432000 is an apocalyptic number.

225432000 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 225432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420331392).

225432000 is an abundant number, since it is smaller than the sum of its proper divisors (615230784).

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

225432000 is a wasteful number, since it uses less digits than its factorization.

225432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

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

The square root of 225432000 is about 15014.3930946276. The cubic root of 225432000 is about 608.6092116235.

Adding to 225432000 its reverse (234522), we get a palindrome (225666522).

The spelling of 225432000 in words is "two hundred twenty-five million, four hundred thirty-two thousand".