232201200 has 360 divisors, whose sum is σ = 946546560. Its totient is φ = 48115200.

The previous prime is 232201187. The next prime is 232201213. The reversal of 232201200 is 2102232.

It is an interprime number because it is at equal distance from previous prime (232201187) and next prime (232201213).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 646621 + ... + 646979.

It is an arithmetic number, because the mean of its divisors is an integer number (2629296).

Almost surely, 2^232201200 is an apocalyptic number.

232201200 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 232201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473273280).

232201200 is an abundant number, since it is smaller than the sum of its proper divisors (714345360).

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

232201200 is a wasteful number, since it uses less digits than its factorization.

232201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 232201200 is about 15238.1494939510. The cubic root of 232201200 is about 614.6409431648.

Adding to 232201200 its reverse (2102232), we get a palindrome (234303432).

The spelling of 232201200 in words is "two hundred thirty-two million, two hundred one thousand, two hundred".