Search a number
-
+
2254846961 is a prime number
BaseRepresentation
bin1000011001100110…
…0011101111110001
312211010220002112102
42012121203233301
514104220100321
61011425110145
7106606611563
oct20631435761
95733802472
102254846961
11a57890994
1252b188355
1329c1c5c93
14175677333
15d2e52c0b
hex86663bf1

2254846961 has 2 divisors, whose sum is σ = 2254846962. Its totient is φ = 2254846960.

The previous prime is 2254846879. The next prime is 2254846963. The reversal of 2254846961 is 1696484522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1641789361 + 613057600 = 40519^2 + 24760^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2254846961 is a prime.

Together with 2254846963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2254846963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1127423480 + 1127423481.

It is an arithmetic number, because the mean of its divisors is an integer number (1127423481).

Almost surely, 22254846961 is an apocalyptic number.

It is an amenable number.

2254846961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2254846961 is an equidigital number, since it uses as much as digits as its factorization.

2254846961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 829440, while the sum is 47.

The square root of 2254846961 is about 47485.2288717239. The cubic root of 2254846961 is about 1311.3109579098.

The spelling of 2254846961 in words is "two billion, two hundred fifty-four million, eight hundred forty-six thousand, nine hundred sixty-one".