304224200 has 96 divisors (see below), whose sum is σ = 850987200. Its totient is φ = 98807040.

The previous prime is 304224149. The next prime is 304224247. The reversal of 304224200 is 2422403.

304224200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 20882 + ... + 32318.

It is an arithmetic number, because the mean of its divisors is an integer number (8864450).

Almost surely, 2^304224200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425493600).

304224200 is an abundant number, since it is smaller than the sum of its proper divisors (546763000).

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

304224200 is a wasteful number, since it uses less digits than its factorization.

304224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11479 (or 11470 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 304224200 is about 17442.0239651251. The cubic root of 304224200 is about 672.5603378651.

Adding to 304224200 its reverse (2422403), we get a palindrome (306646603).

It can be divided in two parts, 3042 and 24200, that multiplied together give a square (73616400 = 8580²).

The spelling of 304224200 in words is "three hundred four million, two hundred twenty-four thousand, two hundred".