200232000232002 has 192 divisors, whose sum is σ = 473120349118560. Its totient is φ = 61062253056000.

The previous prime is 200232000232001. The next prime is 200232000232021.

200232000232002 is a `hidden beast` number, since 20 + 0 + 2 + 320 + 0 + 0 + 2 + 320 + 0 + 2 = 666.

200232000232002 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 110917989761121 + 89314010470881 = 10531761^2 + 9450609^2 .

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

It is not an unprimeable number, because it can be changed into a prime (200232000232001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118152198 + ... + 119834910.

Almost surely, 2^{200232000232002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200232000232002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236560174559280).

200232000232002 is an abundant number, since it is smaller than the sum of its proper divisors (272888348886558).

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

200232000232002 is a wasteful number, since it uses less digits than its factorization.

200232000232002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682949 (or 1682946 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

It can be divided in two parts, 200232000 and 232002, that added together give a palindrome (200464002).

The spelling of 200232000232002 in words is "two hundred trillion, two hundred thirty-two billion, two hundred thirty-two thousand, two".