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112222112 = 2529120929
BaseRepresentation
bin1101011000001…
…01111110100000
321211011110210112
412230011332200
5212212101422
615045150452
72531605112
oct654057640
9254143715
10112222112
115838a152
12316bb428
131a332922
1410c933b2
159cbaee2
hex6b05fa0

112222112 has 24 divisors (see below), whose sum is σ = 228557700. Its totient is φ = 54175744.

The previous prime is 112222109. The next prime is 112222133. The reversal of 112222112 is 211222211.

It can be written as a sum of positive squares in 2 ways, for example, as 108076816 + 4145296 = 10396^2 + 2036^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 59537 + ... + 61392.

Almost surely, 2112222112 is an apocalyptic number.

It is an amenable number.

112222112 is an abundant number, since it is smaller than the sum of its proper divisors (116335588).

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

112222112 is a wasteful number, since it uses less digits than its factorization.

112222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120968 (or 120960 counting only the distinct ones).

The product of its digits is 32, while the sum is 14.

The square root of 112222112 is about 10593.4938523605. The cubic root of 112222112 is about 482.3468861892.

Adding to 112222112 its reverse (211222211), we get a palindrome (323444323).

Subtracting 112222112 from its reverse (211222211), we obtain a palindrome (99000099).

It can be divided in two parts, 11222211 and 2, that multiplied together give a palindrome (22444422).

The spelling of 112222112 in words is "one hundred twelve million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 120929 241858 483716 967432 1934864 3506941 3869728 7013882 14027764 28055528 56111056 112222112