220323312 has 120 divisors (see below), whose sum is σ = 676266240. Its totient is φ = 66407040.

The previous prime is 220323239. The next prime is 220323317. The reversal of 220323312 is 213323022.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220323317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581139 + ... + 581517.

It is an arithmetic number, because the mean of its divisors is an integer number (5635552).

Almost surely, 2^220323312 is an apocalyptic number.

220323312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338133120).

220323312 is an abundant number, since it is smaller than the sum of its proper divisors (455942928).

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

220323312 is a wasteful number, since it uses less digits than its factorization.

220323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 220323312 is about 14843.2918181918. The cubic root of 220323312 is about 603.9766521683.

Adding to 220323312 its reverse (213323022), we get a palindrome (433646334).

The spelling of 220323312 in words is "two hundred twenty million, three hundred twenty-three thousand, three hundred twelve".