Search a number
-
+
22111111122 = 234801767587
BaseRepresentation
bin10100100101111011…
…001100011111010010
32010001221221211021120
4110211323030133102
5330240421023442
614054021503110
71411635225552
oct244573143722
963057854246
1022111111122
119417167061
124350b71a96
132114b86009
1410da825162
1589627a4ec
hex525ecc7d2

22111111122 has 16 divisors (see below), whose sum is σ = 44231490912. Its totient is φ = 7368825600.

The previous prime is 22111111097. The next prime is 22111111123.

It is a happy number.

22111111122 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (22111111123) 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 7 ways as a sum of consecutive naturals, for example, 354988 + ... + 412599.

It is an arithmetic number, because the mean of its divisors is an integer number (2764468182).

Almost surely, 222111111122 is an apocalyptic number.

22111111122 is an abundant number, since it is smaller than the sum of its proper divisors (22120379790).

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

22111111122 is a wasteful number, since it uses less digits than its factorization.

22111111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772393.

The product of its digits is 16, while the sum is 15.

The spelling of 22111111122 in words is "twenty-two billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 4801 9602 14403 28806 767587 1535174 2302761 4605522 3685185187 7370370374 11055555561 22111111122