220301312 has 144 divisors (see below), whose sum is σ = 557706240. Its totient is φ = 85155840.

The previous prime is 220301311. The next prime is 220301321. The reversal of 220301312 is 213103022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (220301311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1734593 + ... + 1734719.

It is an arithmetic number, because the mean of its divisors is an integer number (3872960).

Almost surely, 2^220301312 is an apocalyptic number.

220301312 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 220301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278853120).

220301312 is an abundant number, since it is smaller than the sum of its proper divisors (337404928).

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

220301312 is a wasteful number, since it uses less digits than its factorization.

220301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 220301312 is about 14842.5507241848. The cubic root of 220301312 is about 603.9565484874.

Adding to 220301312 its reverse (213103022), we get a palindrome (433404334).

The spelling of 220301312 in words is "two hundred twenty million, three hundred one thousand, three hundred twelve".