300300224224 has 384 divisors, whose sum is σ = 877074573312. Its totient is φ = 97223639040.

The previous prime is 300300224209. The next prime is 300300224227. The reversal of 300300224224 is 422422003003.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 300300224195 and 300300224204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300300224227) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 12512524 + ... + 12536500.

It is an arithmetic number, because the mean of its divisors is an integer number (2284048368).

Almost surely, 2^300300224224 is an apocalyptic number.

300300224224 is a gapful number since it is divisible by the number (34) 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 300300224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438537286656).

300300224224 is an abundant number, since it is smaller than the sum of its proper divisors (576774349088).

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

300300224224 is a wasteful number, since it uses less digits than its factorization.

300300224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24058 (or 24050 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 300300224224 its reverse (422422003003), we get a palindrome (722722227227).

The spelling of 300300224224 in words is "three hundred billion, three hundred million, two hundred twenty-four thousand, two hundred twenty-four".