Search a number
-
+
112220112 = 24337179353
BaseRepresentation
bin1101011000001…
…01011111010000
321211011101001110
412230011133100
5212212020422
615045133320
72531566224
oct654053720
9254141043
10112220112
11583886a4
12316ba240
131a331a44
1410c92784
159cba60c
hex6b057d0

112220112 has 80 divisors (see below), whose sum is σ = 300248640. Its totient is φ = 36089856.

The previous prime is 112220107. The next prime is 112220117. The reversal of 112220112 is 211022211.

It is an interprime number because it is at equal distance from previous prime (112220107) and next prime (112220117).

It is a super-3 number, since 3×1122201123 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112220117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 317728 + ... + 318080.

It is an arithmetic number, because the mean of its divisors is an integer number (3753108).

Almost surely, 2112220112 is an apocalyptic number.

112220112 is a gapful number since it is divisible by the number (12) 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 112220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150124320).

112220112 is an abundant number, since it is smaller than the sum of its proper divisors (188028528).

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

112220112 is a wasteful number, since it uses less digits than its factorization.

112220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 112220112 is about 10593.3994543772. The cubic root of 112220112 is about 482.3440207423.

Adding to 112220112 its reverse (211022211), we get a palindrome (323242323).

The spelling of 112220112 in words is "one hundred twelve million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 179 222 296 353 358 444 537 592 706 716 888 1059 1074 1412 1432 1776 2118 2148 2824 2864 4236 4296 5648 6623 8472 8592 13061 13246 16944 19869 26122 26492 39183 39738 52244 52984 63187 78366 79476 104488 105968 126374 156732 158952 189561 208976 252748 313464 317904 379122 505496 626928 758244 1010992 1516488 2337919 3032976 4675838 7013757 9351676 14027514 18703352 28055028 37406704 56110056 112220112