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2296112 = 247131983
BaseRepresentation
bin1000110000100100110000
311022122200012
420300210300
51041433422
6121114052
725342130
oct10604460
94278605
102296112
111329115
12928928
13625160
1443aac0
153054e2
hex230930

2296112 has 80 divisors (see below), whose sum is σ = 5832960. Its totient is φ = 850176.

The previous prime is 2296097. The next prime is 2296117. The reversal of 2296112 is 2116922.

It is not an unprimeable number, because it can be changed into a prime (2296117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27623 + ... + 27705.

It is an arithmetic number, because the mean of its divisors is an integer number (72912).

22296112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2296112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916480).

2296112 is an abundant number, since it is smaller than the sum of its proper divisors (3536848).

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

2296112 is a wasteful number, since it uses less digits than its factorization.

2296112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its digits is 432, while the sum is 23.

The square root of 2296112 is about 1515.2927109968. The cubic root of 2296112 is about 131.9261907536.

The spelling of 2296112 in words is "two million, two hundred ninety-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 83 91 104 112 133 152 166 182 208 247 266 304 332 364 494 532 581 664 728 988 1064 1079 1162 1328 1456 1577 1729 1976 2128 2158 2324 3154 3458 3952 4316 4648 6308 6916 7553 8632 9296 11039 12616 13832 15106 17264 20501 22078 25232 27664 30212 41002 44156 60424 82004 88312 120848 143507 164008 176624 287014 328016 574028 1148056 2296112