233230045325200 has 480 divisors, whose sum is σ = 723816781332480. Its totient is φ = 70088474880000.

The previous prime is 233230045325143. The next prime is 233230045325269. The reversal of 233230045325200 is 2523540032332.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 256387165 + ... + 257295235.

It is an arithmetic number, because the mean of its divisors is an integer number (1507951627776).

Almost surely, 2^{233230045325200} is an apocalyptic number.

233230045325200 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 233230045325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361908390666240).

233230045325200 is an abundant number, since it is smaller than the sum of its proper divisors (490586736007280).

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

233230045325200 is a wasteful number, since it uses less digits than its factorization.

233230045325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908407 (or 908396 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 34.

Adding to 233230045325200 its reverse (2523540032332), we get a palindrome (235753585357532).

The spelling of 233230045325200 in words is "two hundred thirty-three trillion, two hundred thirty billion, forty-five million, three hundred twenty-five thousand, two hundred".