224280 has 96 divisors (see below), whose sum is σ = 842400. Its totient is φ = 50688.

The previous prime is 224267. The next prime is 224291. The reversal of 224280 is 82422.

224280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

224280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2476 + ... + 2564.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2²²⁴²⁸⁰ is an apocalyptic number.

224280 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 224280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421200).

224280 is an abundant number, since it is smaller than the sum of its proper divisors (618120).

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

224280 is a wasteful number, since it uses less digits than its factorization.

224280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 224280 is about 473.5820942561. The cubic root of 224280 is about 60.7570738092.

The spelling of 224280 in words is "two hundred twenty-four thousand, two hundred eighty".