221233300320 has 96 divisors (see below), whose sum is σ = 697760487648. Its totient is φ = 58921422848.

The previous prime is 221233300313. The next prime is 221233300361. The reversal of 221233300320 is 23003332122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93412 + ... + 671708.

It is an arithmetic number, because the mean of its divisors is an integer number (7268338413).

Almost surely, 2^221233300320 is an apocalyptic number.

221233300320 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 221233300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348880243824).

221233300320 is an abundant number, since it is smaller than the sum of its proper divisors (476527187328).

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

221233300320 is a wasteful number, since it uses less digits than its factorization.

221233300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579112 (or 579104 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 221233300320 its reverse (23003332122), we get a palindrome (244236632442).

The spelling of 221233300320 in words is "two hundred twenty-one billion, two hundred thirty-three million, three hundred thousand, three hundred twenty".