225800120 has 256 divisors, whose sum is σ = 685843200. Its totient is φ = 64880640.

The previous prime is 225800083. The next prime is 225800129. The reversal of 225800120 is 21008522.

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

It is a junction number, because it is equal to n+sod(n) for n = 225800092 and 225800101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225800129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2537036 + ... + 2537124.

It is an arithmetic number, because the mean of its divisors is an integer number (2679075).

Almost surely, 2^225800120 is an apocalyptic number.

225800120 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 225800120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342921600).

225800120 is an abundant number, since it is smaller than the sum of its proper divisors (460043080).

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

225800120 is a wasteful number, since it uses less digits than its factorization.

225800120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

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

The square root of 225800120 is about 15026.6469979167. The cubic root of 225800120 is about 608.9403083383.

Adding to 225800120 its reverse (21008522), we get a palindrome (246808642).

The spelling of 225800120 in words is "two hundred twenty-five million, eight hundred thousand, one hundred twenty".