282224 has 20 divisors (see below), whose sum is σ = 565440. Its totient is φ = 136320.

The previous prime is 282221. The next prime is 282229. The reversal of 282224 is 422282.

282224 is an admirable number.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 282196 and 282205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212 + ... + 780.

It is an arithmetic number, because the mean of its divisors is an integer number (28272).

2²⁸²²²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282720).

282224 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

282224 is a wasteful number, since it uses less digits than its factorization.

282224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 282224 is about 531.2475882298. The cubic root of 282224 is about 65.5940803701.

The spelling of 282224 in words is "two hundred eighty-two thousand, two hundred twenty-four".