213223312 has 40 divisors (see below), whose sum is σ = 429760440. Its totient is φ = 102359040.

The previous prime is 213223303. The next prime is 213223313. The reversal of 213223312 is 213322312.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 210714256 = 1584^2 + 14516^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 213223312.

It is not an unprimeable number, because it can be changed into a prime (213223313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88362 + ... + 90742.

It is an arithmetic number, because the mean of its divisors is an integer number (10744011).

Almost surely, 2^213223312 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 213223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214880220).

213223312 is an abundant number, since it is smaller than the sum of its proper divisors (216537128).

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

213223312 is a wasteful number, since it uses less digits than its factorization.

213223312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2605 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 213223312 is about 14602.1680582029. The cubic root of 213223312 is about 597.4178964349.

Adding to 213223312 its reverse (213322312), we get a palindrome (426545624).

The spelling of 213223312 in words is "two hundred thirteen million, two hundred twenty-three thousand, three hundred twelve".