10304245224 has 640 divisors, whose sum is σ = 39663993600. Its totient is φ = 2418647040.

The previous prime is 10304245201. The next prime is 10304245261. The reversal of 10304245224 is 42254240301.

10304245224 is a `hidden beast` number, since 10 + 3 + 0 + 424 + 5 + 224 = 666.

10304245224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19046394 + ... + 19046934.

It is an arithmetic number, because the mean of its divisors is an integer number (61974990).

Almost surely, 2^10304245224 is an apocalyptic number.

10304245224 is a gapful number since it is divisible by the number (14) 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 10304245224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19831996800).

10304245224 is an abundant number, since it is smaller than the sum of its proper divisors (29359748376).

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

10304245224 is a wasteful number, since it uses less digits than its factorization.

10304245224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 10304245224 its reverse (42254240301), we get a palindrome (52558485525).

The spelling of 10304245224 in words is "ten billion, three hundred four million, two hundred forty-five thousand, two hundred twenty-four".