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2246526641 is a prime number
BaseRepresentation
bin1000010111100111…
…0100011010110001
312210120020101012102
42011321310122301
514100102323031
61010530510145
7106446106232
oct20571643261
95716211172
102246526641
11a53118797
12528435355
1329a571b08
1417450d089
15d235c7cb
hex85e746b1

2246526641 has 2 divisors, whose sum is σ = 2246526642. Its totient is φ = 2246526640.

The previous prime is 2246526599. The next prime is 2246526647. The reversal of 2246526641 is 1466256422.

2246526641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1583721616 + 662805025 = 39796^2 + 25745^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2246526641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2246526595 and 2246526604.

It is not a weakly prime, because it can be changed into another prime (2246526647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1123263320 + 1123263321.

It is an arithmetic number, because the mean of its divisors is an integer number (1123263321).

Almost surely, 22246526641 is an apocalyptic number.

It is an amenable number.

2246526641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2246526641 is an equidigital number, since it uses as much as digits as its factorization.

2246526641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 138240, while the sum is 38.

The square root of 2246526641 is about 47397.5383432515. The cubic root of 2246526641 is about 1309.6960701592.

The spelling of 2246526641 in words is "two billion, two hundred forty-six million, five hundred twenty-six thousand, six hundred forty-one".