222312 has 32 divisors (see below), whose sum is σ = 568800. Its totient is φ = 72384.

The previous prime is 222311. The next prime is 222317. The reversal of 222312 is 213222.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is not an unprimeable number, because it can be changed into a prime (222311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1338 + ... + 1494.

It is an arithmetic number, because the mean of its divisors is an integer number (17775).

2²²²³¹² is an apocalyptic number.

It is a pronic number, being equal to 471×472.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284400).

222312 is an abundant number, since it is smaller than the sum of its proper divisors (346488).

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

222312 is a wasteful number, since it uses less digits than its factorization.

222312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its digits is 48, while the sum is 12.

The square root of 222312 is about 471.4997348886. The cubic root of 222312 is about 60.5788421820.

Adding to 222312 its reverse (213222), we get a palindrome (435534).

The spelling of 222312 in words is "two hundred twenty-two thousand, three hundred twelve", and thus it is an iban number.