225074100 has 72 divisors (see below), whose sum is σ = 657284320. Its totient is φ = 59460480.

The previous prime is 225074041. The next prime is 225074119. The reversal of 225074100 is 1470522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29259 + ... + 36141.

Almost surely, 2^225074100 is an apocalyptic number.

225074100 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 225074100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328642160).

225074100 is an abundant number, since it is smaller than the sum of its proper divisors (432210220).

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

225074100 is a wasteful number, since it uses less digits than its factorization.

225074100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7009 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 225074100 is about 15002.4697966701. The cubic root of 225074100 is about 608.2869612908.

The spelling of 225074100 in words is "two hundred twenty-five million, seventy-four thousand, one hundred".