225810200 has 288 divisors, whose sum is σ = 696622080. Its totient is φ = 66528000.

The previous prime is 225810199. The next prime is 225810209. The reversal of 225810200 is 2018522.

225810200 = T₂₈₈ + T₂₈₉ + ... + T₁₁₁₂.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225810209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5251379 + ... + 5251421.

Almost surely, 2^225810200 is an apocalyptic number.

225810200 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 225810200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348311040).

225810200 is an abundant number, since it is smaller than the sum of its proper divisors (470811880).

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

225810200 is a wasteful number, since it uses less digits than its factorization.

225810200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 225810200 is about 15026.9823983393. The cubic root of 225810200 is about 608.9493694893.

Adding to 225810200 its reverse (2018522), we get a palindrome (227828722).

The spelling of 225810200 in words is "two hundred twenty-five million, eight hundred ten thousand, two hundred".