224384 has 16 divisors (see below), whose sum is σ = 447270. Its totient is φ = 112128.

The previous prime is 224363. The next prime is 224401. The reversal of 224384 is 483422.

It can be written as a sum of positive squares in only one way, i.e., 222784 + 1600 = 472^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 749 + ... + 1004.

2²²⁴³⁸⁴ is an apocalyptic number.

It is an amenable number.

224384 is a deficient number, since it is larger than the sum of its proper divisors (222886).

224384 is an equidigital number, since it uses as much as digits as its factorization.

224384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1755 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 224384 is about 473.6918829788. The cubic root of 224384 is about 60.7664634996.

The spelling of 224384 in words is "two hundred twenty-four thousand, three hundred eighty-four".