223304400 has 180 divisors, whose sum is σ = 845526240. Its totient is φ = 54124800.

The previous prime is 223304353. The next prime is 223304407. The reversal of 223304400 is 4403322.

223304400 is a `hidden beast` number, since 223 + 3 + 0 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223304407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36781 + ... + 42419.

It is an arithmetic number, because the mean of its divisors is an integer number (4697368).

Almost surely, 2^223304400 is an apocalyptic number.

223304400 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 223304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422763120).

223304400 is an abundant number, since it is smaller than the sum of its proper divisors (622221840).

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

223304400 is a wasteful number, since it uses less digits than its factorization.

223304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 223304400 is about 14943.3731131897. The cubic root of 223304400 is about 606.6884963096.

Adding to 223304400 its reverse (4403322), we get a palindrome (227707722).

The spelling of 223304400 in words is "two hundred twenty-three million, three hundred four thousand, four hundred".