112266 has 56 divisors (see below), whose sum is σ = 314784. Its totient is φ = 29160.

The previous prime is 112261. The next prime is 112279. The reversal of 112266 is 662211.

Adding to 112266 its reverse (662211), we get a palindrome (774477).

Subtracting 112266 from its reverse (662211), we obtain a palindrome (549945).

It can be divided in two parts, 112 and 266, that multiplied together give a palindrome (29792).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 112266.

It is not an unprimeable number, because it can be changed into a prime (112261) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10201 + ... + 10211.

2^{112266} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157392).

112266 is an abundant number, since it is smaller than the sum of its proper divisors (202518).

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

112266 is an equidigital number, since it uses as much as digits as its factorization.

112266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 23 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 112266 is about 335.0611884418. The cubic root of 112266 is about 48.2409756987.

The spelling of 112266 in words is "one hundred twelve thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 729 891 1134 1386 1458 1701 1782 2079 2673 3402 4158 5103 5346 6237 8019 10206 12474 16038 18711 37422 56133 112266

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