233323040 has 192 divisors, whose sum is σ = 627056640. Its totient is φ = 81607680.

The previous prime is 233323039. The next prime is 233323049. The reversal of 233323040 is 40323332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (233323049) 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, 3286205 + ... + 3286275.

It is an arithmetic number, because the mean of its divisors is an integer number (3265920).

Almost surely, 2^233323040 is an apocalyptic number.

233323040 is a gapful number since it is divisible by the number (20) 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 233323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313528320).

233323040 is an abundant number, since it is smaller than the sum of its proper divisors (393733600).

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

233323040 is a wasteful number, since it uses less digits than its factorization.

233323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 233323040 is about 15274.9153843810. The cubic root of 233323040 is about 615.6291972023.

Adding to 233323040 its reverse (40323332), we get a palindrome (273646372).

The spelling of 233323040 in words is "two hundred thirty-three million, three hundred twenty-three thousand, forty".