232033002000 has 320 divisors, whose sum is σ = 776050329600. Its totient is φ = 59573606400.

The previous prime is 232033001987. The next prime is 232033002011. The reversal of 232033002000 is 200330232.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69076321 + ... + 69079679.

It is an arithmetic number, because the mean of its divisors is an integer number (2425157280).

Almost surely, 2^232033002000 is an apocalyptic number.

232033002000 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 232033002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388025164800).

232033002000 is an abundant number, since it is smaller than the sum of its proper divisors (544017327600).

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

232033002000 is a wasteful number, since it uses less digits than its factorization.

232033002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 232033002000 its reverse (200330232), we get a palindrome (232233332232).

It can be divided in two parts, 23203 and 3002000, that added together give a palindrome (3025203).

The spelling of 232033002000 in words is "two hundred thirty-two billion, thirty-three million, two thousand".