211105220 has 24 divisors (see below), whose sum is σ = 443861208. Its totient is φ = 84339200.

The previous prime is 211105207. The next prime is 211105229. The reversal of 211105220 is 22501112.

It can be written as a sum of positive squares in 4 ways, for example, as 39337984 + 171767236 = 6272^2 + 13106^2 .

It is a super-2 number, since 2×211105220² = 89130827822496800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211105195 and 211105204.

It is not an unprimeable number, because it can be changed into a prime (211105229) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11630 + ... + 23610.

It is an arithmetic number, because the mean of its divisors is an integer number (18494217).

Almost surely, 2^211105220 is an apocalyptic number.

211105220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211105220 is an abundant number, since it is smaller than the sum of its proper divisors (232755988).

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

211105220 is a wasteful number, since it uses less digits than its factorization.

211105220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12871 (or 12869 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 211105220 is about 14529.4604166844. The cubic root of 211105220 is about 595.4331238936.

Adding to 211105220 its reverse (22501112), we get a palindrome (233606332).

The spelling of 211105220 in words is "two hundred eleven million, one hundred five thousand, two hundred twenty".