223204000 has 96 divisors (see below), whose sum is σ = 562200912. Its totient is φ = 87040000.

The previous prime is 223203991. The next prime is 223204027. The reversal of 223204000 is 402322.

It can be written as a sum of positive squares in 8 ways, for example, as 17338896 + 205865104 = 4164^2 + 14348^2 .

It is a super-3 number, since 3×223204000³ (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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163320 + ... + 164680.

Almost surely, 2^223204000 is an apocalyptic number.

223204000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281100456).

223204000 is an abundant number, since it is smaller than the sum of its proper divisors (338996912).

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

223204000 is a wasteful number, since it uses less digits than its factorization.

223204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1409 counting only the distinct ones).

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

The square root of 223204000 is about 14940.0133868749. The cubic root of 223204000 is about 606.5975581759.

Adding to 223204000 its reverse (402322), we get a palindrome (223606322).

The spelling of 223204000 in words is "two hundred twenty-three million, two hundred four thousand".