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2263704761 is a prime number
BaseRepresentation
bin1000011011101101…
…0110010010111001
312211202120010011002
42012323112102321
514114002023021
61012343014345
7110045113223
oct20673262271
95752503132
102263704761
11a6189098a
1253213a3b5
132a0ca7996
14176901413
15d3b0250b
hex86ed64b9

2263704761 has 2 divisors, whose sum is σ = 2263704762. Its totient is φ = 2263704760.

The previous prime is 2263704731. The next prime is 2263704763. The reversal of 2263704761 is 1674073622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2242590736 + 21114025 = 47356^2 + 4595^2 .

It is a cyclic number.

It is not a de Polignac number, because 2263704761 - 226 = 2196595897 is a prime.

Together with 2263704763, 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 (2263704763) 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, 1131852380 + 1131852381.

It is an arithmetic number, because the mean of its divisors is an integer number (1131852381).

Almost surely, 22263704761 is an apocalyptic number.

It is an amenable number.

2263704761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2263704761 is an equidigital number, since it uses as much as digits as its factorization.

2263704761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 2263704761 is about 47578.4064571314. The cubic root of 2263704761 is about 1313.0258050613.

The spelling of 2263704761 in words is "two billion, two hundred sixty-three million, seven hundred four thousand, seven hundred sixty-one".