233300221440 has 640 divisors, whose sum is σ = 887643187200. Its totient is φ = 51527024640.

The previous prime is 233300221439. The next prime is 233300221459. The reversal of 233300221440 is 44122003332.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a self number, because there is not a number n which added to its sum of digits gives 233300221440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86759616 + ... + 86762304.

It is an arithmetic number, because the mean of its divisors is an integer number (1386942480).

Almost surely, 2^233300221440 is an apocalyptic number.

233300221440 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 233300221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443821593600).

233300221440 is an abundant number, since it is smaller than the sum of its proper divisors (654342965760).

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

233300221440 is a wasteful number, since it uses less digits than its factorization.

233300221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 233300221440 its reverse (44122003332), we get a palindrome (277422224772).

The spelling of 233300221440 in words is "two hundred thirty-three billion, three hundred million, two hundred twenty-one thousand, four hundred forty".