230422424224032 has 144 divisors (see below), whose sum is σ = 679636708608312. Its totient is φ = 73991679897600.

The previous prime is 230422424224021. The next prime is 230422424224051.

230422424224032 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 2 + 2 + 4 + 242 + 2 + 403 + 2 = 666.

230422424224032 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 207127476421776 + 23294947802256 = 14391924^2 + 4826484^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105971893 + ... + 108124404.

Almost surely, 2^{230422424224032} is an apocalyptic number.

It is an amenable number.

230422424224032 is an abundant number, since it is smaller than the sum of its proper divisors (449214284384280).

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

230422424224032 is a wasteful number, since it uses less digits than its factorization.

230422424224032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214096451 (or 214096440 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

The spelling of 230422424224032 in words is "two hundred thirty trillion, four hundred twenty-two billion, four hundred twenty-four million, two hundred twenty-four thousand, thirty-two".