224802 has 32 divisors (see below), whose sum is σ = 524160. Its totient is φ = 71280.

The previous prime is 224797. The next prime is 224813. The reversal of 224802 is 208422.

224802 is digitally balanced in base 2, 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 an unprimeable number.

224802 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 15 ways as a sum of consecutive naturals, for example, 1152 + ... + 1332.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2²²⁴⁸⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

224802 is an abundant number, since it is smaller than the sum of its proper divisors (299358).

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

224802 is a wasteful number, since it uses less digits than its factorization.

224802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

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

The square root of 224802 is about 474.1328927632. The cubic root of 224802 is about 60.8041735939.

The spelling of 224802 in words is "two hundred twenty-four thousand, eight hundred two".