304144240224 has 192 divisors, whose sum is σ = 888485697792. Its totient is φ = 90324326400.

The previous prime is 304144240187. The next prime is 304144240247. The reversal of 304144240224 is 422042441403.

It is a super-2 number, since 2×304144240224² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 304144240191 and 304144240200.

It is a congruent number.

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, 13927234 + ... + 13949054.

It is an arithmetic number, because the mean of its divisors is an integer number (4627529676).

Almost surely, 2^304144240224 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 304144240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444242848896).

304144240224 is an abundant number, since it is smaller than the sum of its proper divisors (584341457568).

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

304144240224 is a wasteful number, since it uses less digits than its factorization.

304144240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22109 (or 22101 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 304144240224 its reverse (422042441403), we get a palindrome (726186681627).

The spelling of 304144240224 in words is "three hundred four billion, one hundred forty-four million, two hundred forty thousand, two hundred twenty-four".