225642100 has 72 divisors (see below), whose sum is σ = 520869440. Its totient is φ = 84602880.

The previous prime is 225642083. The next prime is 225642133. The reversal of 225642100 is 1246522.

225642100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 195124 + ... + 196276.

Almost surely, 2^225642100 is an apocalyptic number.

225642100 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 225642100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260434720).

225642100 is an abundant number, since it is smaller than the sum of its proper divisors (295227340).

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

225642100 is a wasteful number, since it uses less digits than its factorization.

225642100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 225642100 is about 15021.3880849940. The cubic root of 225642100 is about 608.7982251498.

Adding to 225642100 its reverse (1246522), we get a palindrome (226888622).

The spelling of 225642100 in words is "two hundred twenty-five million, six hundred forty-two thousand, one hundred".