225252100 has 36 divisors (see below), whose sum is σ = 490999824. Its totient is φ = 89694880.

The previous prime is 225252061. The next prime is 225252109. The reversal of 225252100 is 1252522.

It is not an unprimeable number, because it can be changed into a prime (225252109) 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, 17739 + ... + 27661.

It is an arithmetic number, because the mean of its divisors is an integer number (13638884).

Almost surely, 2^225252100 is an apocalyptic number.

225252100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225252100 is an abundant number, since it is smaller than the sum of its proper divisors (265747724).

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

225252100 is a wasteful number, since it uses less digits than its factorization.

225252100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10164 (or 10157 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 225252100 is about 15008.4009807841. The cubic root of 225252100 is about 608.4472737516.

The spelling of 225252100 in words is "two hundred twenty-five million, two hundred fifty-two thousand, one hundred".