223005312 has 160 divisors (see below), whose sum is σ = 672762420. Its totient is φ = 73322496.

The previous prime is 223005311. The next prime is 223005317. The reversal of 223005312 is 213500322.

It can be written as a sum of positive squares in 2 ways, for example, as 222129216 + 876096 = 14904^2 + 936^2 .

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

It is not an unprimeable number, because it can be changed into a prime (223005311) 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 19 ways as a sum of consecutive naturals, for example, 1420338 + ... + 1420494.

Almost surely, 2^223005312 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 223005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336381210).

223005312 is an abundant number, since it is smaller than the sum of its proper divisors (449757108).

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

223005312 is a wasteful number, since it uses less digits than its factorization.

223005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 223005312 is about 14933.3623809241. The cubic root of 223005312 is about 606.4175144562.

Adding to 223005312 its reverse (213500322), we get a palindrome (436505634).

The spelling of 223005312 in words is "two hundred twenty-three million, five thousand, three hundred twelve".