232200332120224 has 192 divisors, whose sum is σ = 496652358722688. Its totient is φ = 106227873792000.

The previous prime is 232200332120201. The next prime is 232200332120279. The reversal of 232200332120224 is 422021233002232.

It is a junction number, because it is equal to n+sod(n) for n = 232200332120192 and 232200332120201.

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 31 ways as a sum of consecutive naturals, for example, 52285593844 + ... + 52285598284.

It is an arithmetic number, because the mean of its divisors is an integer number (2586731035014).

Almost surely, 2^{232200332120224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232200332120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248326179361344).

232200332120224 is an abundant number, since it is smaller than the sum of its proper divisors (264452026602464).

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

232200332120224 is a wasteful number, since it uses less digits than its factorization.

232200332120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6511 (or 6503 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 232200332120224 its reverse (422021233002232), we get a palindrome (654221565122456).

The spelling of 232200332120224 in words is "two hundred thirty-two trillion, two hundred billion, three hundred thirty-two million, one hundred twenty thousand, two hundred twenty-four".