223275008 has 144 divisors (see below), whose sum is σ = 529385220. Its totient is φ = 93716480.

The previous prime is 223274999. The next prime is 223275037. The reversal of 223275008 is 800572322.

223275008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 208282624 + 14992384 = 14432^2 + 3872^2 .

It is a super-3 number, since 3×223275008³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4212710 + ... + 4212762.

Almost surely, 2^223275008 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 223275008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264692610).

223275008 is an abundant number, since it is smaller than the sum of its proper divisors (306110212).

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

223275008 is a wasteful number, since it uses less digits than its factorization.

223275008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 223275008 is about 14942.3896348610. The cubic root of 223275008 is about 606.6618770838.

The spelling of 223275008 in words is "two hundred twenty-three million, two hundred seventy-five thousand, eight".