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2263168 = 2717681
BaseRepresentation
bin1000101000100010000000
311020222111001
420220202000
51034410133
6120301344
725144105
oct10504200
94228431
102263168
111306396
12911854
1361316b
1442caac
152ea87d
hex228880

2263168 has 16 divisors (see below), whose sum is σ = 4508910. Its totient is φ = 1131520.

The previous prime is 2263141. The next prime is 2263169. The reversal of 2263168 is 8613622.

It can be written as a sum of positive squares in only one way, i.e., 2096704 + 166464 = 1448^2 + 408^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2263169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8713 + ... + 8968.

22263168 is an apocalyptic number.

It is an amenable number.

2263168 is a deficient number, since it is larger than the sum of its proper divisors (2245742).

2263168 is an equidigital number, since it uses as much as digits as its factorization.

2263168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17695 (or 17683 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 2263168 is about 1504.3829299749. The cubic root of 2263168 is about 131.2922016975.

It can be divided in two parts, 22 and 63168, that added together give a triangular number (63190 = T355).

The spelling of 2263168 in words is "two million, two hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 17681 35362 70724 141448 282896 565792 1131584 2263168