225214200 has 72 divisors (see below), whose sum is σ = 756350400. Its totient is φ = 60056640.

The previous prime is 225214193. The next prime is 225214207. The reversal of 225214200 is 2412522.

225214200 is a `hidden beast` number, since 225 + 21 + 420 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (225214193) and next prime (225214207).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225214207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60760 + ... + 64359.

Almost surely, 2^225214200 is an apocalyptic number.

225214200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225214200 is an abundant number, since it is smaller than the sum of its proper divisors (531136200).

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

225214200 is a wasteful number, since it uses less digits than its factorization.

225214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125141 (or 125129 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 225214200 is about 15007.1383014884. The cubic root of 225214200 is about 608.4131468850.

Adding to 225214200 its reverse (2412522), we get a palindrome (227626722).

The spelling of 225214200 in words is "two hundred twenty-five million, two hundred fourteen thousand, two hundred".