225033100 has 36 divisors (see below), whose sum is σ = 490843584. Its totient is φ = 89548480.

The previous prime is 225033043. The next prime is 225033119. The reversal of 225033100 is 1330522.

225033100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225033100² = 101279792191220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13989 + ... + 25411.

It is an arithmetic number, because the mean of its divisors is an integer number (13634544).

Almost surely, 2^225033100 is an apocalyptic number.

225033100 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 225033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245421792).

225033100 is an abundant number, since it is smaller than the sum of its proper divisors (265810484).

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

225033100 is a wasteful number, since it uses less digits than its factorization.

225033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11634 (or 11627 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 225033100 is about 15001.1032927582. The cubic root of 225033100 is about 608.2500234114.

Adding to 225033100 its reverse (1330522), we get a palindrome (226363622).

The spelling of 225033100 in words is "two hundred twenty-five million, thirty-three thousand, one hundred".