230244214200 has 1152 divisors, whose sum is σ = 990881579520. Its totient is φ = 42915225600.

The previous prime is 230244214157. The next prime is 230244214259. The reversal of 230244214200 is 2412442032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 288888202 + ... + 288888998.

It is an arithmetic number, because the mean of its divisors is an integer number (860140260).

Almost surely, 2^230244214200 is an apocalyptic number.

230244214200 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 230244214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495440789760).

230244214200 is an abundant number, since it is smaller than the sum of its proper divisors (760637365320).

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

230244214200 is a wasteful number, since it uses less digits than its factorization.

230244214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 230244214200 its reverse (2412442032), we get a palindrome (232656656232).

It can be divided in two parts, 230244 and 214200, that added together give a palindrome (444444).

The spelling of 230244214200 in words is "two hundred thirty billion, two hundred forty-four million, two hundred fourteen thousand, two hundred".