230072232240 has 240 divisors, whose sum is σ = 831978669600. Its totient is φ = 56764735488.

The previous prime is 230072232239. The next prime is 230072232253. The reversal of 230072232240 is 42232270032.

It is a happy number.

230072232240 is a `hidden beast` number, since 230 + 0 + 72 + 2 + 322 + 40 = 666.

230072232240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 562866 + ... + 881454.

It is an arithmetic number, because the mean of its divisors is an integer number (3466577790).

Almost surely, 2^230072232240 is an apocalyptic number.

230072232240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230072232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415989334800).

230072232240 is an abundant number, since it is smaller than the sum of its proper divisors (601906437360).

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

230072232240 is a wasteful number, since it uses less digits than its factorization.

230072232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318684 (or 318675 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The spelling of 230072232240 in words is "two hundred thirty billion, seventy-two million, two hundred thirty-two thousand, two hundred forty".