222384 has 40 divisors (see below), whose sum is σ = 593712. Its totient is φ = 71680.

The previous prime is 222379. The next prime is 222389. The reversal of 222384 is 483222.

It is an interprime number because it is at equal distance from previous prime (222379) and next prime (222389).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 6 and base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 222384.

It is not an unprimeable number, because it can be changed into a prime (222389) by changing a digit.

222384 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 7 ways as a sum of consecutive naturals, for example, 1912 + ... + 2024.

2²²²³⁸⁴ is an apocalyptic number.

222384 is a gapful number since it is divisible by the number (24) 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 222384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296856).

222384 is an abundant number, since it is smaller than the sum of its proper divisors (371328).

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

222384 is a wasteful number, since it uses less digits than its factorization.

222384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 222384 is about 471.5760808184. The cubic root of 222384 is about 60.5853813489.

It can be divided in two parts, 222 and 384, that added together give a palindrome (606).

The spelling of 222384 in words is "two hundred twenty-two thousand, three hundred eighty-four".