225600300 has 216 divisors, whose sum is σ = 758284800. Its totient is φ = 55935360.

The previous prime is 225600259. The next prime is 225600301. The reversal of 225600300 is 3006522.

225600300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (225600301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1350817 + ... + 1350983.

Almost surely, 2^225600300 is an apocalyptic number.

225600300 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 225600300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379142400).

225600300 is an abundant number, since it is smaller than the sum of its proper divisors (532684500).

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

225600300 is a wasteful number, since it uses less digits than its factorization.

225600300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 225600300 is about 15019.9966711048. The cubic root of 225600300 is about 608.7606297168.

Adding to 225600300 its reverse (3006522), we get a palindrome (228606822).

The spelling of 225600300 in words is "two hundred twenty-five million, six hundred thousand, three hundred".