30221875200 has 576 divisors, whose sum is σ = 112702786560. Its totient is φ = 7077888000.

The previous prime is 30221875157. The next prime is 30221875217. The reversal of 30221875200 is 257812203.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52377312 + ... + 52377888.

It is an arithmetic number, because the mean of its divisors is an integer number (195664560).

Almost surely, 2^30221875200 is an apocalyptic number.

30221875200 is a gapful number since it is divisible by the number (30) 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 30221875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56351393280).

30221875200 is an abundant number, since it is smaller than the sum of its proper divisors (82480911360).

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

30221875200 is a wasteful number, since it uses less digits than its factorization.

30221875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 30221875200 in words is "thirty billion, two hundred twenty-one million, eight hundred seventy-five thousand, two hundred".