232533312 has 112 divisors (see below), whose sum is σ = 700503552. Its totient is φ = 67386880.

The previous prime is 232533311. The next prime is 232533319. The reversal of 232533312 is 213335232.

It is a super-3 number, since 3×232533312³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232533311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46183 + ... + 50969.

It is an arithmetic number, because the mean of its divisors is an integer number (6254496).

Almost surely, 2^232533312 is an apocalyptic number.

232533312 is a gapful number since it is divisible by the number (22) 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 232533312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350251776).

232533312 is an abundant number, since it is smaller than the sum of its proper divisors (467970240).

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

232533312 is a wasteful number, since it uses less digits than its factorization.

232533312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836 (or 4826 counting only the distinct ones).

The product of its digits is 3240, while the sum is 24.

The square root of 232533312 is about 15249.0429863648. The cubic root of 232533312 is about 614.9338391383.

Adding to 232533312 its reverse (213335232), we get a palindrome (445868544).

It can be divided in two parts, 23253 and 3312, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 232533312 in words is "two hundred thirty-two million, five hundred thirty-three thousand, three hundred twelve".