225619200 has 162 divisors, whose sum is σ = 806845494. Its totient is φ = 60149760.

The previous prime is 225619193. The next prime is 225619201. The reversal of 225619200 is 2916522.

225619200 is a `hidden beast` number, since 2 + 25 + 619 + 20 + 0 = 666.

225619200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 37161216 + 188457984 = 6096^2 + 13728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225619201) 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, 55642 + ... + 59558.

Almost surely, 2^225619200 is an apocalyptic number.

225619200 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 225619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403422747).

225619200 is an abundant number, since it is smaller than the sum of its proper divisors (581226294).

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

225619200 is a wasteful number, since it uses less digits than its factorization.

225619200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 225619200 is about 15020.6258191861. The cubic root of 225619200 is about 608.7776291839. Note that the first 3 decimals are identical.

The spelling of 225619200 in words is "two hundred twenty-five million, six hundred nineteen thousand, two hundred".