221133232320 has 448 divisors, whose sum is σ = 942681148416. Its totient is φ = 42414981120.

The previous prime is 221133232301. The next prime is 221133232321. The reversal of 221133232320 is 23232331122.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (221133232321) by changing a digit.

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, 845902 + ... + 1076018.

It is an arithmetic number, because the mean of its divisors is an integer number (2104198992).

Almost surely, 2^221133232320 is an apocalyptic number.

221133232320 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 221133232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471340574208).

221133232320 is an abundant number, since it is smaller than the sum of its proper divisors (721547916096).

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

221133232320 is a wasteful number, since it uses less digits than its factorization.

221133232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230168 (or 230158 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 221133232320 its reverse (23232331122), we get a palindrome (244365563442).

The spelling of 221133232320 in words is "two hundred twenty-one billion, one hundred thirty-three million, two hundred thirty-two thousand, three hundred twenty".