233312352 has 192 divisors, whose sum is σ = 798626304. Its totient is φ = 57876480.

The previous prime is 233312351. The next prime is 233312353. The reversal of 233312352 is 253213332.

It is an interprime number because it is at equal distance from previous prime (233312351) and next prime (233312353).

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 (233312351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147727 + ... + 149297.

It is an arithmetic number, because the mean of its divisors is an integer number (4159512).

Almost surely, 2^233312352 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 233312352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399313152).

233312352 is an abundant number, since it is smaller than the sum of its proper divisors (565313952).

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

233312352 is a wasteful number, since it uses less digits than its factorization.

233312352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1613 counting only the distinct ones).

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

The square root of 233312352 is about 15274.5655257359. The cubic root of 233312352 is about 615.6197968657.

Adding to 233312352 its reverse (253213332), we get a palindrome (486525684).

The spelling of 233312352 in words is "two hundred thirty-three million, three hundred twelve thousand, three hundred fifty-two".