221323202500 has 75 divisors (see below), whose sum is σ = 489031137287. Its totient is φ = 87616608000.

The previous prime is 221323202489. The next prime is 221323202509. The reversal of 221323202500 is 5202323122.

The square root of 221323202500 is 470450.

It is a perfect power (a square), and thus also a powerful number.

221323202500 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 12 ways, for example, as 189968709316 + 31354493184 = 435854^2 + 177072^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=485.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221323202509) by changing a digit.

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 24 ways as a sum of consecutive naturals, for example, 2281682452 + ... + 2281682548.

Almost surely, 2^221323202500 is an apocalyptic number.

221323202500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

221323202500 is the 470450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221323202500

221323202500 is an abundant number, since it is smaller than the sum of its proper divisors (267707934787).

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

221323202500 is an frugal number, since it uses more digits than its factorization.

221323202500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 221323202500 its reverse (5202323122), we get a palindrome (226525525622).

The spelling of 221323202500 in words is "two hundred twenty-one billion, three hundred twenty-three million, two hundred two thousand, five hundred".