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11122216 = 2372171669
BaseRepresentation
bin101010011011…
…011000101000
3202221001210221
4222123120220
510321402331
61034215424
7163352200
oct52333050
922831727
1011122216
116307316
123884574
1323c55c1
141697400
15e9a711
hexa9b628

11122216 has 48 divisors (see below), whose sum is σ = 25701300. Its totient is φ = 4483584.

The previous prime is 11122187. The next prime is 11122217. The reversal of 11122216 is 61222111.

It can be written as a sum of positive squares in 2 ways, for example, as 10824100 + 298116 = 3290^2 + 546^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11122216.

It is not an unprimeable number, because it can be changed into a prime (11122217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5830 + ... + 7498.

Almost surely, 211122216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12850650).

11122216 is an abundant number, since it is smaller than the sum of its proper divisors (14579084).

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

11122216 is a wasteful number, since it uses less digits than its factorization.

11122216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1695 counting only the distinct ones).

The product of its digits is 48, while the sum is 16.

The square root of 11122216 is about 3334.9986506744. The cubic root of 11122216 is about 223.2186317270.

Adding to 11122216 its reverse (61222111), we get a palindrome (72344327).

The spelling of 11122216 in words is "eleven million, one hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 1669 3332 3338 6664 6676 11683 13352 23366 28373 46732 56746 81781 93464 113492 163562 198611 226984 327124 397222 654248 794444 1390277 1588888 2780554 5561108 11122216