225299200 has 216 divisors, whose sum is σ = 656957952. Its totient is φ = 74895360.

The previous prime is 225299197. The next prime is 225299201. The reversal of 225299200 is 2992522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (225299201) by changing a digit.

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, 2105547 + ... + 2105653.

It is an arithmetic number, because the mean of its divisors is an integer number (3041472).

Almost surely, 2^225299200 is an apocalyptic number.

225299200 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 225299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328478976).

225299200 is an abundant number, since it is smaller than the sum of its proper divisors (431658752).

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

225299200 is a wasteful number, since it uses less digits than its factorization.

225299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 225299200 is about 15009.9700199567. The cubic root of 225299200 is about 608.4896793783.

The spelling of 225299200 in words is "two hundred twenty-five million, two hundred ninety-nine thousand, two hundred".