221201320 has 16 divisors (see below), whose sum is σ = 497703060. Its totient is φ = 88480512.

The previous prime is 221201261. The next prime is 221201329. The reversal of 221201320 is 23102122.

221201320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 213101604 + 8099716 = 14598^2 + 2846^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 221201320.

It is not an unprimeable number, because it can be changed into a prime (221201329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2764977 + ... + 2765056.

Almost surely, 2^221201320 is an apocalyptic number.

221201320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221201320 is an abundant number, since it is smaller than the sum of its proper divisors (276501740).

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

221201320 is a wasteful number, since it uses less digits than its factorization.

221201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530044 (or 5530040 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 221201320 is about 14872.8383303255. The cubic root of 221201320 is about 604.7778890067. Note that the first 3 decimals are identical.

Adding to 221201320 its reverse (23102122), we get a palindrome (244303442).

The spelling of 221201320 in words is "two hundred twenty-one million, two hundred one thousand, three hundred twenty".