233224322144 has 96 divisors (see below), whose sum is σ = 515346281856. Its totient is φ = 102997509120.

The previous prime is 233224322129. The next prime is 233224322159. The reversal of 233224322144 is 441223422332.

233224322144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233224322129) and next prime (233224322159).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 233224322144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1653899 + ... + 1789365.

It is an arithmetic number, because the mean of its divisors is an integer number (5368190436).

Almost surely, 2^233224322144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233224322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257673140928).

233224322144 is an abundant number, since it is smaller than the sum of its proper divisors (282121959712).

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

233224322144 is a wasteful number, since it uses less digits than its factorization.

233224322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135628 (or 135620 counting only the distinct ones).

The product of its digits is 55296, while the sum is 32.

Adding to 233224322144 its reverse (441223422332), we get a palindrome (674447744476).

The spelling of 233224322144 in words is "two hundred thirty-three billion, two hundred twenty-four million, three hundred twenty-two thousand, one hundred forty-four".