306222 has 32 divisors (see below), whose sum is σ = 732672. Its totient is φ = 83424.

The previous prime is 306209. The next prime is 306239. The reversal of 306222 is 222603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 808 + ... + 1124.

It is an arithmetic number, because the mean of its divisors is an integer number (22896).

2³⁰⁶²²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366336).

306222 is an abundant number, since it is smaller than the sum of its proper divisors (426450).

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

306222 is a wasteful number, since it uses less digits than its factorization.

306222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 306222 is about 553.3732917299. The cubic root of 306222 is about 67.4029331845.

Adding to 306222 its reverse (222603), we get a palindrome (528825).

It can be divided in two parts, 306 and 222, that added together give a triangular number (528 = T₃₂).

The spelling of 306222 in words is "three hundred six thousand, two hundred twenty-two".