232123200 has 168 divisors, whose sum is σ = 782738592. Its totient is φ = 60180480.

The previous prime is 232123147. The next prime is 232123201. The reversal of 232123200 is 2321232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232123200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232123201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176947 + ... + 178253.

Almost surely, 2^232123200 is an apocalyptic number.

232123200 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 232123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391369296).

232123200 is an abundant number, since it is smaller than the sum of its proper divisors (550615392).

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

232123200 is a wasteful number, since it uses less digits than its factorization.

232123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 232123200 is about 15235.5899130949. The cubic root of 232123200 is about 614.5721129683.

Adding to 232123200 its reverse (2321232), we get a palindrome (234444432).

Multiplying 232123200 by its reverse (2321232), we get a square (538811799782400 = 23212320²).

232123200 divided by its reverse (2321232) gives a square (100 = 10²).

The spelling of 232123200 in words is "two hundred thirty-two million, one hundred twenty-three thousand, two hundred".