32232232233000 has 384 divisors, whose sum is σ = 113066595008640. Its totient is φ = 8588669760000.

The previous prime is 32232232232969. The next prime is 32232232233029. The reversal of 32232232233000 is 33223223223.

32232232233000 is a `hidden beast` number, since 3 + 2 + 2 + 3 + 2 + 2 + 322 + 330 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 320952795 + ... + 321053205.

It is an arithmetic number, because the mean of its divisors is an integer number (294444257835).

Almost surely, 2^{32232232233000} is an apocalyptic number.

32232232233000 is a gapful number since it is divisible by the number (30) 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 32232232233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56533297504320).

32232232233000 is an abundant number, since it is smaller than the sum of its proper divisors (80834362775640).

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

32232232233000 is a wasteful number, since it uses less digits than its factorization.

32232232233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101768 (or 101742 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 32232232233000 its reverse (33223223223), we get a palindrome (32265455456223).

The spelling of 32232232233000 in words is "thirty-two trillion, two hundred thirty-two billion, two hundred thirty-two million, two hundred thirty-three thousand".