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2257146769 is a prime number
BaseRepresentation
bin1000011010001001…
…0101001110010001
312211022012221021111
42012202111032101
514110312144034
61011550253321
7106635300553
oct20642251621
95738187244
102257146769
11a59111859
1252bab7241
1329c81ca07
14175ab54d3
15d3259364
hex86895391

2257146769 has 2 divisors, whose sum is σ = 2257146770. Its totient is φ = 2257146768.

The previous prime is 2257146751. The next prime is 2257146811. The reversal of 2257146769 is 9676417522.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2255015169 + 2131600 = 47487^2 + 1460^2 .

It is a cyclic number.

It is not a de Polignac number, because 2257146769 - 213 = 2257138577 is a prime.

It is a super-2 number, since 2×22571467692 = 10189423073614278722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2257146709) 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, 1128573384 + 1128573385.

It is an arithmetic number, because the mean of its divisors is an integer number (1128573385).

Almost surely, 22257146769 is an apocalyptic number.

It is an amenable number.

2257146769 is a deficient number, since it is larger than the sum of its proper divisors (1).

2257146769 is an equidigital number, since it uses as much as digits as its factorization.

2257146769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1270080, while the sum is 49.

The square root of 2257146769 is about 47509.4387358975. The cubic root of 2257146769 is about 1311.7566258074.

The spelling of 2257146769 in words is "two billion, two hundred fifty-seven million, one hundred forty-six thousand, seven hundred sixty-nine".