224364 has 24 divisors (see below), whose sum is σ = 598528. Its totient is φ = 64080.

The previous prime is 224363. The next prime is 224401. The reversal of 224364 is 463422.

224364 is digitally balanced in base 3, 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 (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 224364.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 224364.

It is not an unprimeable number, because it can be changed into a prime (224363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1252 + ... + 1419.

2²²⁴³⁶⁴ is an apocalyptic number.

It is an amenable number.

224364 is an abundant number, since it is smaller than the sum of its proper divisors (374164).

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

224364 is a wasteful number, since it uses less digits than its factorization.

224364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2683 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 224364 is about 473.6707717392. The cubic root of 224364 is about 60.7646580152.

Adding to 224364 its reverse (463422), we get a palindrome (687786).

The spelling of 224364 in words is "two hundred twenty-four thousand, three hundred sixty-four".