223204 has 12 divisors (see below), whose sum is σ = 400428. Its totient is φ = 108800.

The previous prime is 223151. The next prime is 223207. The reversal of 223204 is 402322.

It can be written as a sum of positive squares in 2 ways, for example, as 22500 + 200704 = 150^2 + 448^2 .

It is a super-3 number, since 3×223204³ = 33360086992780992, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223207) by changing a digit.

223204 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 517 + ... + 844.

It is an arithmetic number, because the mean of its divisors is an integer number (33369).

2²²³²⁰⁴ is an apocalyptic number.

It is an amenable number.

223204 is a deficient number, since it is larger than the sum of its proper divisors (177224).

223204 is a wasteful number, since it uses less digits than its factorization.

223204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 223204 is about 472.4447057593. Note that the first 3 decimals coincide. The cubic root of 223204 is about 60.6597558176.

Adding to 223204 its reverse (402322), we get a palindrome (625526).

The spelling of 223204 in words is "two hundred twenty-three thousand, two hundred four", and thus it is an iban number.