233223131232 has 432 divisors, whose sum is σ = 825882220800. Its totient is φ = 61126161408.

The previous prime is 233223131191. The next prime is 233223131261. The reversal of 233223131232 is 232131322332.

233223131232 is a `hidden beast` number, since 2 + 3 + 322 + 313 + 1 + 23 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 233223131196 and 233223131205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56895519 + ... + 56899617.

It is an arithmetic number, because the mean of its divisors is an integer number (1911764400).

Almost surely, 2^233223131232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233223131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412941110400).

233223131232 is an abundant number, since it is smaller than the sum of its proper divisors (592659089568).

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

233223131232 is a wasteful number, since it uses less digits than its factorization.

233223131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4291 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 233223131232 its reverse (232131322332), we get a palindrome (465354453564).

The spelling of 233223131232 in words is "two hundred thirty-three billion, two hundred twenty-three million, one hundred thirty-one thousand, two hundred thirty-two".