223200405 has 24 divisors (see below), whose sum is σ = 390719160. Its totient is φ = 117859200.

The previous prime is 223200389. The next prime is 223200407. The reversal of 223200405 is 504002322.

223200405 is digitally balanced in base 2, 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 4 ways, for example, as 37859409 + 185340996 = 6153^2 + 13614^2 .

It is not a de Polignac number, because 223200405 - 2⁴ = 223200389 is a prime.

It is a super-3 number, since 3×223200405³ (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223200407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20010 + ... + 29099.

It is an arithmetic number, because the mean of its divisors is an integer number (16279965).

Almost surely, 2^223200405 is an apocalyptic number.

It is an amenable number.

223200405 is a deficient number, since it is larger than the sum of its proper divisors (167518755).

223200405 is a wasteful number, since it uses less digits than its factorization.

223200405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49221 (or 49218 counting only the distinct ones).

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

The square root of 223200405 is about 14939.8930719065. The cubic root of 223200405 is about 606.5943014692.

Adding to 223200405 its reverse (504002322), we get a palindrome (727202727).

The spelling of 223200405 in words is "two hundred twenty-three million, two hundred thousand, four hundred five".