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2246041161 = 3271319913781
BaseRepresentation
bin1000010111011111…
…1101111001001001
312210112022201020200
42011313331321021
514044441304121
61010512242413
7106442014650
oct20567757111
95715281220
102246041161
11a52916a71
12528240409
1329a431b50
14174424197
15d22b3a26
hex85dfde49

2246041161 has 48 divisors (see below), whose sum is σ = 4013318400. Its totient is φ = 1178686080.

The previous prime is 2246041159. The next prime is 2246041177. The reversal of 2246041161 is 1611406422.

2246041161 is a `hidden beast` number, since 2 + 2 + 460 + 41 + 161 = 666.

It is not a de Polignac number, because 2246041161 - 21 = 2246041159 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2246041141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156091 + ... + 169871.

It is an arithmetic number, because the mean of its divisors is an integer number (83610800).

Almost surely, 22246041161 is an apocalyptic number.

2246041161 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2246041161 is a deficient number, since it is larger than the sum of its proper divisors (1767277239).

2246041161 is a wasteful number, since it uses less digits than its factorization.

2246041161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14006 (or 14003 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2246041161 is about 47392.4167035191. The cubic root of 2246041161 is about 1309.6017205021.

Adding to 2246041161 its reverse (1611406422), we get a palindrome (3857447583).

The spelling of 2246041161 in words is "two billion, two hundred forty-six million, forty-one thousand, one hundred sixty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 199 273 597 819 1393 1791 2587 4179 7761 12537 13781 18109 23283 41343 54327 96467 124029 162981 179153 289401 537459 868203 1254071 1612377 2742419 3762213 8227257 11286639 19196933 24681771 35651447 57590799 106954341 172772397 249560129 320863023 748680387 2246041161