Search a number
-
+
11221696 = 26672617
BaseRepresentation
bin101010110011…
…101011000000
3210010010021101
4222303223000
510333043241
61040304144
7164245213
oct52635300
923103241
1011221696
116375032
123912054
13242b975
1416c177a
15eb9e31
hexab3ac0

11221696 has 28 divisors (see below), whose sum is σ = 22609048. Its totient is φ = 5524992.

The previous prime is 11221669. The next prime is 11221697. The reversal of 11221696 is 69612211.

It is a super-2 number, since 2×112216962 = 251852922232832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11221697) 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 3 ways as a sum of consecutive naturals, for example, 2980 + ... + 5596.

It is an arithmetic number, because the mean of its divisors is an integer number (807466).

Almost surely, 211221696 is an apocalyptic number.

11221696 is a gapful number since it is divisible by the number (16) 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 11221696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11304524).

11221696 is an abundant number, since it is smaller than the sum of its proper divisors (11387352).

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

11221696 is an equidigital number, since it uses as much as digits as its factorization.

11221696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2686 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

The square root of 11221696 is about 3349.8799978507. The cubic root of 11221696 is about 223.8821659160.

The spelling of 11221696 in words is "eleven million, two hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 67 134 268 536 1072 2144 2617 4288 5234 10468 20936 41872 83744 167488 175339 350678 701356 1402712 2805424 5610848 11221696