223104000 has 352 divisors, whose sum is σ = 858364416. Its totient is φ = 50380800.

The previous prime is 223103983. The next prime is 223104029. The reversal of 223104000 is 401322.

It is a super-3 number, since 3×223104000³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2687959 + ... + 2688041.

Almost surely, 2^223104000 is an apocalyptic number.

223104000 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 223104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429182208).

223104000 is an abundant number, since it is smaller than the sum of its proper divisors (635260416).

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

223104000 is an equidigital number, since it uses as much as digits as its factorization.

223104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 223104000 is about 14936.6662947259. Note that the first 3 decimals coincide. The cubic root of 223104000 is about 606.5069552342.

Adding to 223104000 its reverse (401322), we get a palindrome (223505322).

The spelling of 223104000 in words is "two hundred twenty-three million, one hundred four thousand".