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2241967081 is a prime number
BaseRepresentation
bin1000010110100001…
…1011001111101001
312210020122201122211
42011220123033221
514042420421311
61010245045121
7106362256114
oct20550331751
95706581584
102241967081
11a50594062
125269b67a1
13299636653
14173a8357b
15d1c5b821
hex85a1b3e9

2241967081 has 2 divisors, whose sum is σ = 2241967082. Its totient is φ = 2241967080.

The previous prime is 2241966989. The next prime is 2241967087. The reversal of 2241967081 is 1807691422.

2241967081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1454659600 + 787307481 = 38140^2 + 28059^2 .

It is a cyclic number.

It is not a de Polignac number, because 2241967081 - 29 = 2241966569 is a prime.

It is a super-2 number, since 2×22419670812 = 10052832784575321122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2241967087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1120983540 + 1120983541.

It is an arithmetic number, because the mean of its divisors is an integer number (1120983541).

Almost surely, 22241967081 is an apocalyptic number.

It is an amenable number.

2241967081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2241967081 is an equidigital number, since it uses as much as digits as its factorization.

2241967081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 2241967081 is about 47349.4147904702. The cubic root of 2241967081 is about 1308.8094151356.

The spelling of 2241967081 in words is "two billion, two hundred forty-one million, nine hundred sixty-seven thousand, eighty-one".