225420300 has 144 divisors (see below), whose sum is σ = 828280320. Its totient is φ = 51520320.

The previous prime is 225420203. The next prime is 225420343. The reversal of 225420300 is 3024522.

225420300 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12937 + ... + 24863.

Almost surely, 2^225420300 is an apocalyptic number.

225420300 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 225420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414140160).

225420300 is an abundant number, since it is smaller than the sum of its proper divisors (602860020).

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

225420300 is a wasteful number, since it uses less digits than its factorization.

225420300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11957 (or 11944 counting only the distinct ones).

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

The square root of 225420300 is about 15014.0034634337. The cubic root of 225420300 is about 608.5986824307.

Adding to 225420300 its reverse (3024522), we get a palindrome (228444822).

The spelling of 225420300 in words is "two hundred twenty-five million, four hundred twenty thousand, three hundred".