232313202000 has 960 divisors, whose sum is σ = 932820295680. Its totient is φ = 53336448000.

The previous prime is 232313201957. The next prime is 232313202049. The reversal of 232313202000 is 202313232.

It is a happy number.

232313202000 is a `hidden beast` number, since 2 + 323 + 1 + 320 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 191 ways as a sum of consecutive naturals, for example, 633005817 + ... + 633006183.

It is an arithmetic number, because the mean of its divisors is an integer number (971687808).

Almost surely, 2^232313202000 is an apocalyptic number.

232313202000 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 232313202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466410147840).

232313202000 is an abundant number, since it is smaller than the sum of its proper divisors (700507093680).

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

232313202000 is a wasteful number, since it uses less digits than its factorization.

232313202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232313202000 its reverse (202313232), we get a palindrome (232515515232).

The spelling of 232313202000 in words is "two hundred thirty-two billion, three hundred thirteen million, two hundred two thousand".