222912 has 70 divisors (see below), whose sum is σ = 676148. Its totient is φ = 72576.

The previous prime is 222883. The next prime is 222913. The reversal of 222912 is 219222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

Its product of digits (144) is a multiple of the sum of its prime divisors (48).

It is a nialpdrome in base 6, base 8 and base 12.

It is a zygodrome in base 6 and base 8.

It is not an unprimeable number, because it can be changed into a prime (222913) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5163 + ... + 5205.

2²²²⁹¹² 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 222912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338074).

222912 is an abundant number, since it is smaller than the sum of its proper divisors (453236).

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

222912 is an equidigital number, since it uses as much as digits as its factorization.

222912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 48 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 222912 is about 472.1355737497. The cubic root of 222912 is about 60.6332921665.

The spelling of 222912 in words is "two hundred twenty-two thousand, nine hundred twelve".