222712 has 32 divisors (see below), whose sum is σ = 493920. Its totient is φ = 92160.

The previous prime is 222707. The next prime is 222713. The reversal of 222712 is 217222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2248 + ... + 2344.

It is an arithmetic number, because the mean of its divisors is an integer number (15435).

2²²²⁷¹² 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 222712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246960).

222712 is an abundant number, since it is smaller than the sum of its proper divisors (271208).

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

222712 is a wasteful number, since it uses less digits than its factorization.

222712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its digits is 112, while the sum is 16.

The square root of 222712 is about 471.9237226502. The cubic root of 222712 is about 60.6151530399.

Adding to 222712 its reverse (217222), we get a palindrome (439934).

The spelling of 222712 in words is "two hundred twenty-two thousand, seven hundred twelve", and thus it is an iban number.