230232213200 has 120 divisors (see below), whose sum is σ = 610198712640. Its totient is φ = 82779980800.

The previous prime is 230232213193. The next prime is 230232213209. The reversal of 230232213200 is 2312232032.

230232213200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×230232213200³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230232213209) 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 23 ways as a sum of consecutive naturals, for example, 97637 + ... + 685563.

It is an arithmetic number, because the mean of its divisors is an integer number (5084989272).

Almost surely, 2^230232213200 is an apocalyptic number.

230232213200 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 230232213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305099356320).

230232213200 is an abundant number, since it is smaller than the sum of its proper divisors (379966499440).

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

230232213200 is a wasteful number, since it uses less digits than its factorization.

230232213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588045 (or 588034 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 230232213200 its reverse (2312232032), we get a palindrome (232544445232).

The spelling of 230232213200 in words is "two hundred thirty billion, two hundred thirty-two million, two hundred thirteen thousand, two hundred".