Search a number
-
+
253940177 is a prime number
BaseRepresentation
bin11110010001011…
…01000111010001
3122200211111102202
433020231013101
51010002041202
641110452545
76202312241
oct1710550721
9580744382
10253940177
11120385017
1271064155
13407c1c7a
1425a23b21
1517461802
hexf22d1d1

253940177 has 2 divisors, whose sum is σ = 253940178. Its totient is φ = 253940176.

The previous prime is 253940147. The next prime is 253940227. The reversal of 253940177 is 771049352.

253940177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 248882176 + 5058001 = 15776^2 + 2249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253940177 is a prime.

It is a super-2 number, since 2×2539401772 = 128971226989582658, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 253940177.

It is not a weakly prime, because it can be changed into another prime (253940147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126970088 + 126970089.

It is an arithmetic number, because the mean of its divisors is an integer number (126970089).

Almost surely, 2253940177 is an apocalyptic number.

It is an amenable number.

253940177 is a deficient number, since it is larger than the sum of its proper divisors (1).

253940177 is an equidigital number, since it uses as much as digits as its factorization.

253940177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 253940177 is about 15935.5005255561. The cubic root of 253940177 is about 633.2528299954.

The spelling of 253940177 in words is "two hundred fifty-three million, nine hundred forty thousand, one hundred seventy-seven".