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2212112122 = 211682314737
BaseRepresentation
bin1000001111011010…
…0010011011111010
312201011110221100121
42003312202123322
514012300041442
61003301123454
7105550433323
oct20366423372
95634427317
102212112122
11a35752640
125189b958a
132933b26ac
1416db1144a
15ce310967
hex83da26fa

2212112122 has 16 divisors (see below), whose sum is σ = 3620596032. Its totient is φ = 1005289920.

The previous prime is 2212112093. The next prime is 2212112129.

It is a happy number.

2212112122 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 2212112096 and 2212112105.

It is not an unprimeable number, because it can be changed into a prime (2212112129) 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 7 ways as a sum of consecutive naturals, for example, 142738 + ... + 157474.

It is an arithmetic number, because the mean of its divisors is an integer number (226287252).

Almost surely, 22212112122 is an apocalyptic number.

2212112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2212112122 is a deficient number, since it is larger than the sum of its proper divisors (1408483910).

2212112122 is a wasteful number, since it uses less digits than its factorization.

2212112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21573.

The product of its digits is 64, while the sum is 16.

The square root of 2212112122 is about 47033.0960282225. The cubic root of 2212112122 is about 1302.9738864098.

It can be divided in two parts, 22121 and 12122, that added together give a palindrome (34243).

The spelling of 2212112122 in words is "two billion, two hundred twelve million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 11 22 6823 13646 14737 29474 75053 150106 162107 324214 100550551 201101102 1106056061 2212112122