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2246249041 is a prime number
BaseRepresentation
bin1000010111100011…
…0000101001010001
312210112201021101221
42011320300221101
514100014432131
61010520525041
7106443542011
oct20570605121
95715637357
102246249041
11a52a49173
12528320781
1329a4a565a
14174479c41
15d2305411
hex85e30a51

2246249041 has 2 divisors, whose sum is σ = 2246249042. Its totient is φ = 2246249040.

The previous prime is 2246249039. The next prime is 2246249059. The reversal of 2246249041 is 1409426422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2125578816 + 120670225 = 46104^2 + 10985^2 .

It is a cyclic number.

It is not a de Polignac number, because 2246249041 - 21 = 2246249039 is a prime.

Together with 2246249039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2246248988 and 2246249006.

It is not a weakly prime, because it can be changed into another prime (2246249011) 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 as a sum of consecutive naturals, namely, 1123124520 + 1123124521.

It is an arithmetic number, because the mean of its divisors is an integer number (1123124521).

Almost surely, 22246249041 is an apocalyptic number.

It is an amenable number.

2246249041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2246249041 is an equidigital number, since it uses as much as digits as its factorization.

2246249041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 2246249041 is about 47394.6098306548. The cubic root of 2246249041 is about 1309.6421221967.

The spelling of 2246249041 in words is "two billion, two hundred forty-six million, two hundred forty-nine thousand, forty-one".