233205540 has 96 divisors (see below), whose sum is σ = 683472384. Its totient is φ = 59351040.

The previous prime is 233205523. The next prime is 233205547. The reversal of 233205540 is 45502332.

233205540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 233205540.

It is not an unprimeable number, because it can be changed into a prime (233205547) 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, 114612 + ... + 116628.

It is an arithmetic number, because the mean of its divisors is an integer number (7119504).

Almost surely, 2^233205540 is an apocalyptic number.

233205540 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 233205540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341736192).

233205540 is an abundant number, since it is smaller than the sum of its proper divisors (450266844).

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

233205540 is a wasteful number, since it uses less digits than its factorization.

233205540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 233205540 is about 15271.0687248797. The cubic root of 233205540 is about 615.5258375329.

Adding to 233205540 its reverse (45502332), we get a palindrome (278707872).

The spelling of 233205540 in words is "two hundred thirty-three million, two hundred five thousand, five hundred forty".