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2261303893 is a prime number
BaseRepresentation
bin1000011011001000…
…1100001001010101
312211121001010210001
42012302030021111
514112343211033
61012215331301
7110015523502
oct20662141125
95747033701
102261303893
11a604a10a2
12531380b31
132a0646c54
141764784a9
15d37cae7d
hex86c8c255

2261303893 has 2 divisors, whose sum is σ = 2261303894. Its totient is φ = 2261303892.

The previous prime is 2261303887. The next prime is 2261303899. The reversal of 2261303893 is 3983031622.

It is the 19414-th star number.

It is a balanced prime because it is at equal distance from previous prime (2261303887) and next prime (2261303899).

It can be written as a sum of positive squares in only one way, i.e., 1525917969 + 735385924 = 39063^2 + 27118^2 .

It is a cyclic number.

It is not a de Polignac number, because 2261303893 - 217 = 2261172821 is a prime.

It is a super-2 number, since 2×22613038932 = 10226990592993910898, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2261303899) 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, 1130651946 + 1130651947.

It is an arithmetic number, because the mean of its divisors is an integer number (1130651947).

Almost surely, 22261303893 is an apocalyptic number.

It is an amenable number.

2261303893 is a deficient number, since it is larger than the sum of its proper divisors (1).

2261303893 is an equidigital number, since it uses as much as digits as its factorization.

2261303893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 2261303893 is about 47553.1691162640. The cubic root of 2261303893 is about 1312.5614458066.

The spelling of 2261303893 in words is "two billion, two hundred sixty-one million, three hundred three thousand, eight hundred ninety-three".