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2262005761 is a prime number
BaseRepresentation
bin1000011011010011…
…0111100000000001
312211122100210120011
42012310313200001
514113033141021
61012242344521
7110024505661
oct20664674001
95748323504
102262005761
11a60930454
1253165b141
132a0831562
141765bc1a1
15d38b8de1
hex86d37801

2262005761 has 2 divisors, whose sum is σ = 2262005762. Its totient is φ = 2262005760.

The previous prime is 2262005749. The next prime is 2262005773. The reversal of 2262005761 is 1675002622.

It is a balanced prime because it is at equal distance from previous prime (2262005749) and next prime (2262005773).

It can be written as a sum of positive squares in only one way, i.e., 2144153025 + 117852736 = 46305^2 + 10856^2 .

It is a cyclic number.

It is not a de Polignac number, because 2262005761 - 25 = 2262005729 is a prime.

It is not a weakly prime, because it can be changed into another prime (2262005731) 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, 1131002880 + 1131002881.

It is an arithmetic number, because the mean of its divisors is an integer number (1131002881).

Almost surely, 22262005761 is an apocalyptic number.

It is an amenable number.

2262005761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2262005761 is an equidigital number, since it uses as much as digits as its factorization.

2262005761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 2262005761 is about 47560.5483673181. The cubic root of 2262005761 is about 1312.6972302366.

The spelling of 2262005761 in words is "two billion, two hundred sixty-two million, five thousand, seven hundred sixty-one".