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2368866241 = 721724092
BaseRepresentation
bin1000110100110010…
…0000011111000001
320010002102212120201
42031030200133001
514322412204431
61031021005201
7112463013400
oct21514403701
96102385521
102368866241
1110061882a5
125613b3801
132b9a07901
14186877637
15dce76461
hex8d3207c1

2368866241 has 27 divisors (see below), whose sum is σ = 2934424809. Its totient is φ = 1906345728.

The previous prime is 2368866229. The next prime is 2368866257. The reversal of 2368866241 is 1426688632.

The square root of 2368866241 is 48671.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1178892225 + 1189974016 = 34335^2 + 34496^2 .

It is not a de Polignac number, because 2368866241 - 217 = 2368735169 is a prime.

It is a super-2 number, since 2×23688662412 = 11223054535498940162, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2368866191 and 2368866200.

It is not an unprimeable number, because it can be changed into a prime (2368866341) 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 26 ways as a sum of consecutive naturals, for example, 5791645 + ... + 5792053.

Almost surely, 22368866241 is an apocalyptic number.

2368866241 is the 48671-st square number.

2368866241 is the 24336-th centered octagonal number.

It is an amenable number.

2368866241 is a deficient number, since it is larger than the sum of its proper divisors (565558568).

2368866241 is an frugal number, since it uses more digits than its factorization.

2368866241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 433 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The cubic root of 2368866241 is about 1333.0512494021.

The spelling of 2368866241 in words is "two billion, three hundred sixty-eight million, eight hundred sixty-six thousand, two hundred forty-one".

Divisors: 1 7 17 49 119 289 409 833 2023 2863 6953 14161 20041 48671 118201 167281 340697 827407 1170967 2843777 5791849 8196769 19906439 48344209 139345073 338409463 2368866241