230210222012032 has 64 divisors (see below), whose sum is σ = 467937613954440. Its totient is φ = 112790554214400.

The previous prime is 230210222012027. The next prime is 230210222012041.

230210222012032 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 229798191537216 + 412030474816 = 15159096^2 + 641896^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 230210222011994 and 230210222012012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90535173 + ... + 93043204.

Almost surely, 2^{230210222012032} is an apocalyptic number.

It is an amenable number.

230210222012032 is an abundant number, since it is smaller than the sum of its proper divisors (237727391942408).

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

230210222012032 is a wasteful number, since it uses less digits than its factorization.

230210222012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183578589 (or 183578577 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The spelling of 230210222012032 in words is "two hundred thirty trillion, two hundred ten billion, two hundred twenty-two million, twelve thousand, thirty-two".