225002100 has 72 divisors (see below), whose sum is σ = 679331520. Its totient is φ = 57390080.

The previous prime is 225002093. The next prime is 225002111. The reversal of 225002100 is 1200522.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9405 + ... + 23204.

It is an arithmetic number, because the mean of its divisors is an integer number (9435160).

Almost surely, 2^225002100 is an apocalyptic number.

225002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225002100 is an abundant number, since it is smaller than the sum of its proper divisors (454329420).

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

225002100 is a wasteful number, since it uses less digits than its factorization.

225002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32649 (or 32642 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 225002100 is about 15000.0699998367. The cubic root of 225002100 is about 608.2220917921. Note that the first 3 decimals are identical.

Adding to 225002100 its reverse (1200522), we get a palindrome (226202622).

The spelling of 225002100 in words is "two hundred twenty-five million, two thousand, one hundred".