225007200 has 288 divisors, whose sum is σ = 888693120. Its totient is φ = 54489600.

The previous prime is 225007171. The next prime is 225007213. The reversal of 225007200 is 2700522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 237127 + ... + 238073.

It is an arithmetic number, because the mean of its divisors is an integer number (3085740).

Almost surely, 2^225007200 is an apocalyptic number.

225007200 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 225007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444346560).

225007200 is an abundant number, since it is smaller than the sum of its proper divisors (663685920).

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

225007200 is a wasteful number, since it uses less digits than its factorization.

225007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 225007200 is about 15000.2399980800. The cubic root of 225007200 is about 608.2266871703.

Adding to 225007200 its reverse (2700522), we get a palindrome (227707722).

The spelling of 225007200 in words is "two hundred twenty-five million, seven thousand, two hundred".