233005220 has 48 divisors (see below), whose sum is σ = 561283968. Its totient is φ = 79591680.

The previous prime is 233005217. The next prime is 233005229. The reversal of 233005220 is 22500332.

It is not an unprimeable number, because it can be changed into a prime (233005229) 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, 36680 + ... + 42560.

It is an arithmetic number, because the mean of its divisors is an integer number (11693416).

Almost surely, 2^233005220 is an apocalyptic number.

233005220 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 233005220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280641984).

233005220 is an abundant number, since it is smaller than the sum of its proper divisors (328278748).

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

233005220 is a wasteful number, since it uses less digits than its factorization.

233005220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6180 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 233005220 is about 15264.5085083012. The cubic root of 233005220 is about 615.3495446119.

Adding to 233005220 its reverse (22500332), we get a palindrome (255505552).

The spelling of 233005220 in words is "two hundred thirty-three million, five thousand, two hundred twenty".