221300020032 has 224 divisors, whose sum is σ = 721071456000. Its totient is φ = 58330202112.

The previous prime is 221300020003. The next prime is 221300020079. The reversal of 221300020032 is 230020003122.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 221300019993 and 221300020020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44533644 + ... + 44538612.

It is an arithmetic number, because the mean of its divisors is an integer number (3219069000).

Almost surely, 2^221300020032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221300020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360535728000).

221300020032 is an abundant number, since it is smaller than the sum of its proper divisors (499771435968).

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

221300020032 is a wasteful number, since it uses less digits than its factorization.

221300020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7553 (or 7543 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 221300020032 its reverse (230020003122), we get a palindrome (451320023154).

The spelling of 221300020032 in words is "two hundred twenty-one billion, three hundred million, twenty thousand, thirty-two".