225216200 has 96 divisors (see below), whose sum is σ = 575588160. Its totient is φ = 81273600.

The previous prime is 225216193. The next prime is 225216217. The reversal of 225216200 is 2612522.

225216200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 367094 + ... + 367706.

It is an arithmetic number, because the mean of its divisors is an integer number (5995710).

Almost surely, 2^225216200 is an apocalyptic number.

225216200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225216200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287794080).

225216200 is an abundant number, since it is smaller than the sum of its proper divisors (350371960).

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

225216200 is a wasteful number, since it uses less digits than its factorization.

225216200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 225216200 is about 15007.2049362964. The cubic root of 225216200 is about 608.4149478707.

Adding to 225216200 its reverse (2612522), we get a palindrome (227828722).

The spelling of 225216200 in words is "two hundred twenty-five million, two hundred sixteen thousand, two hundred".