224820 has 36 divisors (see below), whose sum is σ = 682500. Its totient is φ = 59904.

The previous prime is 224813. The next prime is 224831. The reversal of 224820 is 28422.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 138384 = 294^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 224793 and 224802.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 224820.

It is an unprimeable number.

224820 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 11 ways as a sum of consecutive naturals, for example, 445 + ... + 804.

2²²⁴⁸²⁰ is an apocalyptic number.

224820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224820 is an abundant number, since it is smaller than the sum of its proper divisors (457680).

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

224820 is a wasteful number, since it uses less digits than its factorization.

224820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1259 counting only the distinct ones).

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

The square root of 224820 is about 474.1518744031. The cubic root of 224820 is about 60.8057964234.

The spelling of 224820 in words is "two hundred twenty-four thousand, eight hundred twenty".