220384 has 24 divisors (see below), whose sum is σ = 444528. Its totient is φ = 107520.

The previous prime is 220373. The next prime is 220391. The reversal of 220384 is 483022.

220384 = T₁₀₁ + T₁₀₂ + ... + T₁₃₂.

It is a happy number.

220384 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 nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2224 + ... + 2320.

It is an arithmetic number, because the mean of its divisors is an integer number (18522).

2²²⁰³⁸⁴ is an apocalyptic number.

It is an amenable number.

220384 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

220384 is an equidigital number, since it uses as much as digits as its factorization.

220384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 220384 is about 469.4507428900. The cubic root of 220384 is about 60.4032102149.

The spelling of 220384 in words is "two hundred twenty thousand, three hundred eighty-four".