233240040 has 256 divisors, whose sum is σ = 878688000. Its totient is φ = 54512640.

The previous prime is 233240009. The next prime is 233240047. The reversal of 233240040 is 40042332.

233240040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 233239995 and 233240022.

It is not an unprimeable number, because it can be changed into a prime (233240047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344182 + ... + 344858.

It is an arithmetic number, because the mean of its divisors is an integer number (3432375).

Almost surely, 2^233240040 is an apocalyptic number.

233240040 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 233240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439344000).

233240040 is an abundant number, since it is smaller than the sum of its proper divisors (645447960).

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

233240040 is a wasteful number, since it uses less digits than its factorization.

233240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 233240040 is about 15272.1982700592. The cubic root of 233240040 is about 615.5561892909.

Adding to 233240040 its reverse (40042332), we get a palindrome (273282372).

The spelling of 233240040 in words is "two hundred thirty-three million, two hundred forty thousand, forty".