224982 has 24 divisors (see below), whose sum is σ = 505440. Its totient is φ = 72240.

The previous prime is 224977. The next prime is 224993. The reversal of 224982 is 289422.

224982 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (21060).

2²²⁴⁹⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252720).

224982 is an abundant number, since it is smaller than the sum of its proper divisors (280458).

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

224982 is a wasteful number, since it uses less digits than its factorization.

224982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 465 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 224982 is about 474.3226749798. The cubic root of 224982 is about 60.8203979919.

It can be divided in two parts, 22498 and 2, that added together give a square (22500 = 150²).

The spelling of 224982 in words is "two hundred twenty-four thousand, nine hundred eighty-two".