233220144 has 80 divisors (see below), whose sum is σ = 640673280. Its totient is φ = 72852480.

The previous prime is 233220109. The next prime is 233220149. The reversal of 233220144 is 441022332.

233220144 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 233220144.

It is not an unprimeable number, because it can be changed into a prime (233220149) 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, 253317 + ... + 254235.

It is an arithmetic number, because the mean of its divisors is an integer number (8008416).

Almost surely, 2^233220144 is an apocalyptic number.

233220144 is a gapful number since it is divisible by the number (24) 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 233220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320336640).

233220144 is an abundant number, since it is smaller than the sum of its proper divisors (407453136).

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

233220144 is a wasteful number, since it uses less digits than its factorization.

233220144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 233220144 is about 15271.5468764628. The cubic root of 233220144 is about 615.5386859294.

Adding to 233220144 its reverse (441022332), we get a palindrome (674242476).

The spelling of 233220144 in words is "two hundred thirty-three million, two hundred twenty thousand, one hundred forty-four".