233040224320 has 56 divisors (see below), whose sum is σ = 562528830744. Its totient is φ = 91939147776.

The previous prime is 233040224311. The next prime is 233040224377. The reversal of 233040224320 is 23422040332.

It can be written as a sum of positive squares in 4 ways, for example, as 8068350976 + 224971873344 = 89824^2 + 474312^2 .

It is a super-2 number, since 2×233040224320² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4964659 + ... + 5011378.

Almost surely, 2^233040224320 is an apocalyptic number.

233040224320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233040224320 is an abundant number, since it is smaller than the sum of its proper divisors (329488606424).

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

233040224320 is an equidigital number, since it uses as much as digits as its factorization.

233040224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9976127 (or 9976117 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 233040224320 its reverse (23422040332), we get a palindrome (256462264652).

The spelling of 233040224320 in words is "two hundred thirty-three billion, forty million, two hundred twenty-four thousand, three hundred twenty".