230024314232240 has 160 divisors (see below), whose sum is σ = 603649668144960. Its totient is φ = 80746670592000.

The previous prime is 230024314232233. The next prime is 230024314232267. The reversal of 230024314232240 is 42232413420032.

It is a super-2 number, since 2×230024314232240² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230024314232197 and 230024314232206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144699002 + ... + 146280038.

It is an arithmetic number, because the mean of its divisors is an integer number (3772810425906).

Almost surely, 2^{230024314232240} is an apocalyptic number.

230024314232240 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 230024314232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301824834072480).

230024314232240 is an abundant number, since it is smaller than the sum of its proper divisors (373625353912720).

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

230024314232240 is a wasteful number, since it uses less digits than its factorization.

230024314232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586791 (or 1586785 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 230024314232240 its reverse (42232413420032), we get a palindrome (272256727652272).

The spelling of 230024314232240 in words is "two hundred thirty trillion, twenty-four billion, three hundred fourteen million, two hundred thirty-two thousand, two hundred forty".