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2246540641 is a prime number
BaseRepresentation
bin1000010111100111…
…0111110101100001
312210120021002101221
42011321313311201
514100103300031
61010531055041
7106446165112
oct20571676541
95716232357
102246540641
11a53128264
12528441481
1329a5782b7
14174514209
15d2361a11
hex85e77d61

2246540641 has 2 divisors, whose sum is σ = 2246540642. Its totient is φ = 2246540640.

The previous prime is 2246540623. The next prime is 2246540671. The reversal of 2246540641 is 1460456422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1806590016 + 439950625 = 42504^2 + 20975^2 .

It is a cyclic number.

It is not a de Polignac number, because 2246540641 - 229 = 1709669729 is a prime.

It is a super-3 number, since 3×22465406413 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2246540597 and 2246540606.

It is not a weakly prime, because it can be changed into another prime (2246540671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1123270320 + 1123270321.

It is an arithmetic number, because the mean of its divisors is an integer number (1123270321).

Almost surely, 22246540641 is an apocalyptic number.

It is an amenable number.

2246540641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2246540641 is an equidigital number, since it uses as much as digits as its factorization.

2246540641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 2246540641 is about 47397.6860300163. The cubic root of 2246540641 is about 1309.6987907601.

The spelling of 2246540641 in words is "two billion, two hundred forty-six million, five hundred forty thousand, six hundred forty-one".