225520200 has 120 divisors (see below), whose sum is σ = 783321330. Its totient is φ = 60134400.

The previous prime is 225520193. The next prime is 225520201. The reversal of 225520200 is 2025522.

It can be written as a sum of positive squares in 3 ways, for example, as 175986756 + 49533444 = 13266^2 + 7038^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225520201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9240 + ... + 23160.

Almost surely, 2^225520200 is an apocalyptic number.

225520200 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 225520200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391660665).

225520200 is an abundant number, since it is smaller than the sum of its proper divisors (557801130).

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

225520200 is a wasteful number, since it uses less digits than its factorization.

225520200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13949 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 225520200 is about 15017.3299890493. The cubic root of 225520200 is about 608.6885738159.

Adding to 225520200 its reverse (2025522), we get a palindrome (227545722).

The spelling of 225520200 in words is "two hundred twenty-five million, five hundred twenty thousand, two hundred".