4005200223 has 32 divisors (see below), whose sum is σ = 6033484800. Its totient is φ = 2625480000.

The previous prime is 4005200189. The next prime is 4005200231. The reversal of 4005200223 is 3220025004.

It is not a de Polignac number, because 4005200223 - 2¹⁸ = 4004938079 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4005200196 and 4005200205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005200273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531643 + ... + 539123.

It is an arithmetic number, because the mean of its divisors is an integer number (188546400).

Almost surely, 2^4005200223 is an apocalyptic number.

4005200223 is a deficient number, since it is larger than the sum of its proper divisors (2028284577).

4005200223 is a wasteful number, since it uses less digits than its factorization.

4005200223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7820 (or 7814 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4005200223 is about 63286.6512228290. The cubic root of 4005200223 is about 1588.0886573675.

Adding to 4005200223 its reverse (3220025004), we get a palindrome (7225225227).

The spelling of 4005200223 in words is "four billion, five million, two hundred thousand, two hundred twenty-three".