221210930952 has 108 divisors (see below), whose sum is σ = 658659809535. Its totient is φ = 67020312480.

The previous prime is 221210930893. The next prime is 221210930953. The reversal of 221210930952 is 259039012122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

221210930952 is digitally balanced in base 3, 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 only one way, i.e., 110605465476 + 110605465476 = 332574^2 + 332574^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332574.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (221210930953) 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 26 ways as a sum of consecutive naturals, for example, 43897249 + ... + 43902287.

Almost surely, 2^221210930952 is an apocalyptic number.

221210930952 is a gapful number since it is divisible by the number (22) 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 221210930952

221210930952 is an abundant number, since it is smaller than the sum of its proper divisors (437448878583).

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

221210930952 is an equidigital number, since it uses as much as digits as its factorization.

221210930952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10112 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 221210930952 in words is "two hundred twenty-one billion, two hundred ten million, nine hundred thirty thousand, nine hundred fifty-two".