224840 has 64 divisors (see below), whose sum is σ = 639360. Its totient is φ = 69120.

The previous prime is 224831. The next prime is 224863. The reversal of 224840 is 48422.

224840 is digitally balanced in base 2 and base 3, because in such bases 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 (20).

It is an unprimeable number.

224840 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, 3044 + ... + 3116.

It is an arithmetic number, because the mean of its divisors is an integer number (9990).

2²²⁴⁸⁴⁰ is an apocalyptic number.

224840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319680).

224840 is an abundant number, since it is smaller than the sum of its proper divisors (414520).

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

224840 is a wasteful number, since it uses less digits than its factorization.

224840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 98 counting only the distinct ones).

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

The square root of 224840 is about 474.1729642230. The cubic root of 224840 is about 60.8075994656.

It can be divided in two parts, 2 and 24840, that added together give a palindrome (24842).

The spelling of 224840 in words is "two hundred twenty-four thousand, eight hundred forty".