222084 has 36 divisors (see below), whose sum is σ = 582400. Its totient is φ = 71280.

The previous prime is 222073. The next prime is 222107. The reversal of 222084 is 480222.

222084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 nialpdrome in base 6 and base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1017 + ... + 1215.

2²²²⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291200).

222084 is an abundant number, since it is smaller than the sum of its proper divisors (360316).

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

222084 is a wasteful number, since it uses less digits than its factorization.

222084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 235 counting only the distinct ones).

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

The square root of 222084 is about 471.2578911806. The cubic root of 222084 is about 60.5581255008.

It can be divided in two parts, 2220 and 84, that added together give a square (2304 = 48²).

The spelling of 222084 in words is "two hundred twenty-two thousand, eighty-four".