225280 has 52 divisors (see below), whose sum is σ = 589752. Its totient is φ = 81920.

The previous prime is 225263. The next prime is 225287. The reversal of 225280 is 82522.

225280 = 35² + 36² + ... + 89².

225280 is nontrivially palindromic in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225287) by changing a digit.

225280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20475 + ... + 20485.

225280 is a Friedman number, since it can be written as 220/(2/8)^5, using all its digits and the basic arithmetic operations.

2²²⁵²⁸⁰ is an apocalyptic number.

225280 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 225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294876).

225280 is an abundant number, since it is smaller than the sum of its proper divisors (364472).

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

225280 is an equidigital number, since it uses as much as digits as its factorization.

225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 225280 is about 474.6367031741. The cubic root of 225280 is about 60.8472393722.

It can be divided in two parts, 2252 and 80, that added together give a palindrome (2332).

The spelling of 225280 in words is "two hundred twenty-five thousand, two hundred eighty".