230448275200 has 432 divisors, whose sum is σ = 675977797152. Its totient is φ = 77316096000.

The previous prime is 230448275107. The next prime is 230448275201. The reversal of 230448275200 is 2572844032.

230448275200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230448275200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230448275201) 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 47 ways as a sum of consecutive naturals, for example, 110738160 + ... + 110740240.

Almost surely, 2^230448275200 is an apocalyptic number.

230448275200 is a gapful number since it is divisible by the number (20) 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 230448275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337988898576).

230448275200 is an abundant number, since it is smaller than the sum of its proper divisors (445529521952).

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

230448275200 is a wasteful number, since it uses less digits than its factorization.

230448275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The spelling of 230448275200 in words is "two hundred thirty billion, four hundred forty-eight million, two hundred seventy-five thousand, two hundred".