224924 has 24 divisors (see below), whose sum is σ = 467040. Its totient is φ = 92736.

The previous prime is 224921. The next prime is 224929. The reversal of 224924 is 429422.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 224924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 674 + ... + 950.

It is an arithmetic number, because the mean of its divisors is an integer number (19460).

2²²⁴⁹²⁴ 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 224924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233520).

224924 is an abundant number, since it is smaller than the sum of its proper divisors (242116).

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

224924 is a wasteful number, since it uses less digits than its factorization.

224924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 224924 is about 474.2615312251. The cubic root of 224924 is about 60.8151710756.

The spelling of 224924 in words is "two hundred twenty-four thousand, nine hundred twenty-four".