Search a number
-
+
2149007257 is a prime number
BaseRepresentation
bin1000000000010111…
…0011111110011001
312112202201212202101
42000011303332121
513400121213012
6553124403401
7104153155165
oct20005637631
95482655671
102149007257
11a03070a61
124bb846561
132832b9437
141655a5ca5
15c89e7d57
hex80173f99

2149007257 has 2 divisors, whose sum is σ = 2149007258. Its totient is φ = 2149007256.

The previous prime is 2149007177. The next prime is 2149007279. The reversal of 2149007257 is 7527009412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1806165001 + 342842256 = 42499^2 + 18516^2 .

It is a cyclic number.

It is not a de Polignac number, because 2149007257 - 27 = 2149007129 is a prime.

It is not a weakly prime, because it can be changed into another prime (2149007297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1074503628 + 1074503629.

It is an arithmetic number, because the mean of its divisors is an integer number (1074503629).

Almost surely, 22149007257 is an apocalyptic number.

It is an amenable number.

2149007257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2149007257 is an equidigital number, since it uses as much as digits as its factorization.

2149007257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 2149007257 is about 46357.3862183795. The cubic root of 2149007257 is about 1290.4641994648.

The spelling of 2149007257 in words is "two billion, one hundred forty-nine million, seven thousand, two hundred fifty-seven".