Search a number
-
+
228257 is a prime number
BaseRepresentation
bin110111101110100001
3102121002222
4313232201
524301012
64520425
71640321
oct675641
9377088
10228257
11146547
12b0115
137cb83
145d281
1547972
hex37ba1

228257 has 2 divisors, whose sum is σ = 228258. Its totient is φ = 228256.

The previous prime is 228251. The next prime is 228281. The reversal of 228257 is 752822.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 226576 + 1681 = 476^2 + 41^2 .

It is a cyclic number.

It is not a de Polignac number, because 228257 - 210 = 227233 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 228257.

It is not a weakly prime, because it can be changed into another prime (228251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 114128 + 114129.

It is an arithmetic number, because the mean of its divisors is an integer number (114129).

2228257 is an apocalyptic number.

It is an amenable number.

228257 is a deficient number, since it is larger than the sum of its proper divisors (1).

228257 is an equidigital number, since it uses as much as digits as its factorization.

228257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2240, while the sum is 26.

The square root of 228257 is about 477.7624932956. The cubic root of 228257 is about 61.1140926614.

The spelling of 228257 in words is "two hundred twenty-eight thousand, two hundred fifty-seven".