Search a number
-
+
2257829797 is a prime number
BaseRepresentation
bin1000011010010011…
…1011111110100101
312211100111122012211
42012210323332211
514111001023142
61012013043421
7106644144106
oct20644737645
95740448184
102257829797
11a59538a43
12530186571
1329c9cb882
14175c123ad
15d3341917
hex8693bfa5

2257829797 has 2 divisors, whose sum is σ = 2257829798. Its totient is φ = 2257829796.

The previous prime is 2257829737. The next prime is 2257829803. The reversal of 2257829797 is 7979287522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1578393441 + 679436356 = 39729^2 + 26066^2 .

It is a cyclic number.

It is not a de Polignac number, because 2257829797 - 231 = 110346149 is a prime.

It is a super-2 number, since 2×22578297972 = 10195590784442122418, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2257829737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1128914898 + 1128914899.

It is an arithmetic number, because the mean of its divisors is an integer number (1128914899).

Almost surely, 22257829797 is an apocalyptic number.

It is an amenable number.

2257829797 is a deficient number, since it is larger than the sum of its proper divisors (1).

2257829797 is an equidigital number, since it uses as much as digits as its factorization.

2257829797 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8890560, while the sum is 58.

The square root of 2257829797 is about 47516.6265321940. The cubic root of 2257829797 is about 1311.8889279623. Note that the first 3 decimals are identical.

The spelling of 2257829797 in words is "two billion, two hundred fifty-seven million, eight hundred twenty-nine thousand, seven hundred ninety-seven".