233213144223440 has 160 divisors (see below), whose sum is σ = 574938007862400. Its totient is φ = 87730509404160.

The previous prime is 233213144223419. The next prime is 233213144223481. The reversal of 233213144223440 is 44322441312332.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 233213144223394 and 233213144223403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123825434 + ... + 125694726.

It is an arithmetic number, because the mean of its divisors is an integer number (3593362549140).

Almost surely, 2^{233213144223440} is an apocalyptic number.

233213144223440 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 233213144223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287469003931200).

233213144223440 is an abundant number, since it is smaller than the sum of its proper divisors (341724863638960).

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

233213144223440 is a wasteful number, since it uses less digits than its factorization.

233213144223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869925 (or 1869919 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 233213144223440 its reverse (44322441312332), we get a palindrome (277535585535772).

The spelling of 233213144223440 in words is "two hundred thirty-three trillion, two hundred thirteen billion, one hundred forty-four million, two hundred twenty-three thousand, four hundred forty".