230342224000 has 128 divisors (see below), whose sum is σ = 654501294720. Its totient is φ = 78974438400.

The previous prime is 230342223959. The next prime is 230342224009. The reversal of 230342224000 is 422243032.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (230342224009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 916314 + ... + 1140313.

It is an arithmetic number, because the mean of its divisors is an integer number (5113291365).

Almost surely, 2^230342224000 is an apocalyptic number.

230342224000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230342224000 is an abundant number, since it is smaller than the sum of its proper divisors (424159070720).

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

230342224000 is an equidigital number, since it uses as much as digits as its factorization.

230342224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056663 (or 2056641 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 230342224000 its reverse (422243032), we get a palindrome (230764467032).

The spelling of 230342224000 in words is "two hundred thirty billion, three hundred forty-two million, two hundred twenty-four thousand".