Search a number
-
+
228301 is a prime number
BaseRepresentation
bin110111101111001101
3102121011121
4313233031
524301201
64520541
71640413
oct675715
9377147
10228301
11146587
12b0151
137cbb8
145d2b3
15479a1
hex37bcd

228301 has 2 divisors, whose sum is σ = 228302. Its totient is φ = 228300.

The previous prime is 228299. The next prime is 228307. The reversal of 228301 is 103822.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198025 + 30276 = 445^2 + 174^2 .

It is a cyclic number.

It is not a de Polignac number, because 228301 - 21 = 228299 is a prime.

Together with 228299, it forms a pair of twin primes.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (228307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 114150 + 114151.

It is an arithmetic number, because the mean of its divisors is an integer number (114151).

2228301 is an apocalyptic number.

It is an amenable number.

228301 is a deficient number, since it is larger than the sum of its proper divisors (1).

228301 is an equidigital number, since it uses as much as digits as its factorization.

228301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 228301 is about 477.8085390614. The cubic root of 228301 is about 61.1180192986.

It can be divided in two parts, 228 and 301, that added together give a square (529 = 232).

The spelling of 228301 in words is "two hundred twenty-eight thousand, three hundred one".