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112817224 = 23137571433
BaseRepresentation
bin1101011100101…
…11010001001000
321212021201010201
412232113101020
5212340122344
615110021544
72536634122
oct656272110
9255251121
10112817224
1158756283
12319478b4
131a4b0770
1410daa212
159d874d4
hex6b97448

112817224 has 32 divisors (see below), whose sum is σ = 228264120. Its totient is φ = 51964416.

The previous prime is 112817183. The next prime is 112817227. The reversal of 112817224 is 422718211.

It can be written as a sum of positive squares in 4 ways, for example, as 99640324 + 13176900 = 9982^2 + 3630^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112817192 and 112817201.

It is not an unprimeable number, because it can be changed into a prime (112817227) 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 7 ways as a sum of consecutive naturals, for example, 78012 + ... + 79444.

Almost surely, 2112817224 is an apocalyptic number.

It is an amenable number.

112817224 is an abundant number, since it is smaller than the sum of its proper divisors (115446896).

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

112817224 is a wasteful number, since it uses less digits than its factorization.

112817224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2205 counting only the distinct ones).

The product of its digits is 1792, while the sum is 28.

The square root of 112817224 is about 10621.5452736407. The cubic root of 112817224 is about 483.1980093079.

The spelling of 112817224 in words is "one hundred twelve million, eight hundred seventeen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 757 1433 1514 2866 3028 5732 6056 9841 11464 18629 19682 37258 39364 74516 78728 149032 1084781 2169562 4339124 8678248 14102153 28204306 56408612 112817224