221300003203224 has 128 divisors (see below), whose sum is σ = 610017556135680. Its totient is φ = 66342052454400.

The previous prime is 221300003203211. The next prime is 221300003203241. The reversal of 221300003203224 is 422302300003122.

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

It is a junction number, because it is equal to n+sod(n) for n = 221300003203194 and 221300003203203.

It is a congruent number.

It is an unprimeable number.

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, 60738987 + ... + 64279269.

It is an arithmetic number, because the mean of its divisors is an integer number (4765762157310).

Almost surely, 2^{221300003203224} is an apocalyptic number.

221300003203224 is a gapful number since it is divisible by the number (24) 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 221300003203224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305008778067840).

221300003203224 is an abundant number, since it is smaller than the sum of its proper divisors (388717552932456).

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

221300003203224 is a wasteful number, since it uses less digits than its factorization.

221300003203224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542841 (or 3542837 counting only the distinct ones).

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

Adding to 221300003203224 its reverse (422302300003122), we get a palindrome (643602303206346).

The spelling of 221300003203224 in words is "two hundred twenty-one trillion, three hundred billion, three million, two hundred three thousand, two hundred twenty-four".