304200148224 has 144 divisors (see below), whose sum is σ = 925674946560. Its totient is φ = 86876805120.

The previous prime is 304200148183. The next prime is 304200148247. The reversal of 304200148224 is 422841002403.

304200148224 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 304200148191 and 304200148200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13918297 + ... + 13940135.

It is an arithmetic number, because the mean of its divisors is an integer number (6428298240).

Almost surely, 2^304200148224 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 304200148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462837473280).

304200148224 is an abundant number, since it is smaller than the sum of its proper divisors (621474798336).

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

304200148224 is a wasteful number, since it uses less digits than its factorization.

304200148224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24456 (or 24442 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 304200148224 in words is "three hundred four billion, two hundred million, one hundred forty-eight thousand, two hundred twenty-four".