221300233420 has 96 divisors (see below), whose sum is σ = 536651127936. Its totient is φ = 75085056000.

The previous prime is 221300233411. The next prime is 221300233519. The reversal of 221300233420 is 24332003122.

It is a junction number, because it is equal to n+sod(n) for n = 221300233391 and 221300233400.

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 31 ways as a sum of consecutive naturals, for example, 51934090 + ... + 51938350.

It is an arithmetic number, because the mean of its divisors is an integer number (5590115916).

Almost surely, 2^221300233420 is an apocalyptic number.

221300233420 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 221300233420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268325563968).

221300233420 is an abundant number, since it is smaller than the sum of its proper divisors (315350894516).

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

221300233420 is a wasteful number, since it uses less digits than its factorization.

221300233420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8051 (or 8049 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 221300233420 its reverse (24332003122), we get a palindrome (245632236542).

It can be divided in two parts, 2213002 and 33420, that added together give a palindrome (2246422).

The spelling of 221300233420 in words is "two hundred twenty-one billion, three hundred million, two hundred thirty-three thousand, four hundred twenty".