224992 has 24 divisors (see below), whose sum is σ = 453600. Its totient is φ = 109824.

The previous prime is 224977. The next prime is 224993. The reversal of 224992 is 299422.

It is a happy number.

224992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 224992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224993) 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, 2484 + ... + 2572.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2²²⁴⁹⁹² is an apocalyptic number.

It is an amenable number.

224992 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.

224992 is an equidigital number, since it uses as much as digits as its factorization.

224992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 224992 is about 474.3332162099. Note that the first 3 decimals coincide. The cubic root of 224992 is about 60.8212990936.

The spelling of 224992 in words is "two hundred twenty-four thousand, nine hundred ninety-two".