233300221220 has 96 divisors (see below), whose sum is σ = 547743651840. Its totient is φ = 82735551360.

The previous prime is 233300221211. The next prime is 233300221229. The reversal of 233300221220 is 22122003332.

233300221220 is digitally balanced in base 2, 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 (233300221211) and next prime (233300221229).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 233300221192 and 233300221201.

It is not an unprimeable number, because it can be changed into a prime (233300221229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6215429 + ... + 6252851.

It is an arithmetic number, because the mean of its divisors is an integer number (5705663040).

Almost surely, 2^233300221220 is an apocalyptic number.

233300221220 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 233300221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273871825920).

233300221220 is an abundant number, since it is smaller than the sum of its proper divisors (314443430620).

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

233300221220 is a wasteful number, since it uses less digits than its factorization.

233300221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38145 (or 38143 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 233300221220 its reverse (22122003332), we get a palindrome (255422224552).

The spelling of 233300221220 in words is "two hundred thirty-three billion, three hundred million, two hundred twenty-one thousand, two hundred twenty".