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2261349977 is a prime number
BaseRepresentation
bin1000011011001001…
…0111011001011001
312211121010110222212
42012302113121121
514112401144402
61012220324505
7110016105035
oct20662273131
95747113885
102261349977
11a60522787
125313a3735
132a0661c13
1417648b1c5
15d37d9952
hex86c97659

2261349977 has 2 divisors, whose sum is σ = 2261349978. Its totient is φ = 2261349976.

The previous prime is 2261349973. The next prime is 2261349991. The reversal of 2261349977 is 7799431622.

2261349977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2246380816 + 14969161 = 47396^2 + 3869^2 .

It is a cyclic number.

It is not a de Polignac number, because 2261349977 - 22 = 2261349973 is a prime.

It is a super-2 number, since 2×22613499772 = 10227407436955801058, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2261349973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1130674988 + 1130674989.

It is an arithmetic number, because the mean of its divisors is an integer number (1130674989).

Almost surely, 22261349977 is an apocalyptic number.

It is an amenable number.

2261349977 is a deficient number, since it is larger than the sum of its proper divisors (1).

2261349977 is an equidigital number, since it uses as much as digits as its factorization.

2261349977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1143072, while the sum is 50.

The square root of 2261349977 is about 47553.6536661485. The cubic root of 2261349977 is about 1312.5703621477.

The spelling of 2261349977 in words is "two billion, two hundred sixty-one million, three hundred forty-nine thousand, nine hundred seventy-seven".