225210100 has 36 divisors (see below), whose sum is σ = 489357568. Its totient is φ = 89964000.

The previous prime is 225210079. The next prime is 225210113. The reversal of 225210100 is 1012522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146335 + ... + 147865.

Almost surely, 2^225210100 is an apocalyptic number.

225210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225210100 is an abundant number, since it is smaller than the sum of its proper divisors (264147468).

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

225210100 is a wasteful number, since it uses less digits than its factorization.

225210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 225210100 is about 15007.0016992069. The cubic root of 225210100 is about 608.4094548309.

Adding to 225210100 its reverse (1012522), we get a palindrome (226222622).

The spelling of 225210100 in words is "two hundred twenty-five million, two hundred ten thousand, one hundred".