225022100 has 36 divisors (see below), whose sum is σ = 497522844. Its totient is φ = 88308480.

The previous prime is 225022093. The next prime is 225022103. The reversal of 225022100 is 1220522.

It can be written as a sum of positive squares in 6 ways, for example, as 11102224 + 213919876 = 3332^2 + 14626^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225022103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15929 + ... + 26528.

It is an arithmetic number, because the mean of its divisors is an integer number (13820079).

Almost surely, 2^225022100 is an apocalyptic number.

225022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225022100 is an abundant number, since it is smaller than the sum of its proper divisors (272500744).

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

225022100 is a wasteful number, since it uses less digits than its factorization.

225022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42524 (or 42517 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 225022100 is about 15000.7366485783. The cubic root of 225022100 is about 608.2401124853.

Adding to 225022100 its reverse (1220522), we get a palindrome (226242622).

The spelling of 225022100 in words is "two hundred twenty-five million, twenty-two thousand, one hundred".