233440224 has 96 divisors (see below), whose sum is σ = 634023936. Its totient is φ = 75156480.

The previous prime is 233440219. The next prime is 233440231. The reversal of 233440224 is 422044332.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 233440194 and 233440203.

It is a congruent number.

It is an unprimeable number.

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, 499639 + ... + 500105.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416).

Almost surely, 2^233440224 is an apocalyptic number.

233440224 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 233440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317011968).

233440224 is an abundant number, since it is smaller than the sum of its proper divisors (400583712).

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

233440224 is a wasteful number, since it uses less digits than its factorization.

233440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 233440224 is about 15278.7507342714. The cubic root of 233440224 is about 615.7322443449.

Adding to 233440224 its reverse (422044332), we get a palindrome (655484556).

The spelling of 233440224 in words is "two hundred thirty-three million, four hundred forty thousand, two hundred twenty-four".