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2442112 = 2719079
BaseRepresentation
bin1001010100001110000000
311121001221121
421110032000
51111121422
6124202024
726520601
oct11241600
94531847
102442112
111418882
12999314
1367674a
14477da8
153338c7
hex254380

2442112 has 16 divisors (see below), whose sum is σ = 4865400. Its totient is φ = 1220992.

The previous prime is 2442107. The next prime is 2442113. The reversal of 2442112 is 2112442.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×24421122 = 11927822041088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442113) 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 as a sum of consecutive naturals, namely, 9412 + ... + 9667.

22442112 is an apocalyptic number.

It is an amenable number.

2442112 is a deficient number, since it is larger than the sum of its proper divisors (2423288).

2442112 is an equidigital number, since it uses as much as digits as its factorization.

2442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19093 (or 19081 counting only the distinct ones).

The product of its digits is 128, while the sum is 16.

The square root of 2442112 is about 1562.7258236812. The cubic root of 2442112 is about 134.6651417444.

Adding to 2442112 its reverse (2112442), we get a palindrome (4554554).

The spelling of 2442112 in words is "two million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 19079 38158 76316 152632 305264 610528 1221056 2442112