Search a number
-
+
2257658141 is a prime number
BaseRepresentation
bin1000011010010001…
…0010000100011101
312211100011220202012
42012210102010131
514110430030031
61012005241005
7106642530464
oct20644220435
95740156665
102257658141
11a59430a82
12530103165
1329c96b6bb
14175ba99db
15d330ab2b
hex8691211d

2257658141 has 2 divisors, whose sum is σ = 2257658142. Its totient is φ = 2257658140.

The previous prime is 2257658077. The next prime is 2257658167. The reversal of 2257658141 is 1418567522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1824144100 + 433514041 = 42710^2 + 20821^2 .

It is a cyclic number.

It is not a de Polignac number, because 2257658141 - 26 = 2257658077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2257658041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1128829070 + 1128829071.

It is an arithmetic number, because the mean of its divisors is an integer number (1128829071).

Almost surely, 22257658141 is an apocalyptic number.

It is an amenable number.

2257658141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2257658141 is an equidigital number, since it uses as much as digits as its factorization.

2257658141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 134400, while the sum is 41.

The square root of 2257658141 is about 47514.8202248520. The cubic root of 2257658141 is about 1311.8556807982.

The spelling of 2257658141 in words is "two billion, two hundred fifty-seven million, six hundred fifty-eight thousand, one hundred forty-one".