233024340032 has 84 divisors (see below), whose sum is σ = 522003855660. Its totient is φ = 103057320960.

The previous prime is 233024340011. The next prime is 233024340037. The reversal of 233024340032 is 230043420332.

It can be written as a sum of positive squares in 2 ways, for example, as 186465057856 + 46559282176 = 431816^2 + 215776^2 .

It is a super-2 number, since 2×233024340032² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233024339983 and 233024340010.

It is not an unprimeable number, because it can be changed into a prime (233024340037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120107 + ... + 693162.

It is an arithmetic number, because the mean of its divisors is an integer number (6214331615).

Almost surely, 2^233024340032 is an apocalyptic number.

233024340032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

233024340032 is an abundant number, since it is smaller than the sum of its proper divisors (288979515628).

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

233024340032 is a wasteful number, since it uses less digits than its factorization.

233024340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813340 (or 813319 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 233024340032 its reverse (230043420332), we get a palindrome (463067760364).

The spelling of 233024340032 in words is "two hundred thirty-three billion, twenty-four million, three hundred forty thousand, thirty-two".