Search a number
2214271 is a prime number
BaseRepresentation
bin1000011100100101111111
311011111102001
420130211333
51031324041
6115243131
724551413
oct10344577
94144361
102214271
111282684
128a94a7
135c6b27
14418d43
152db131
hex21c97f

2214271 has 2 divisors, whose sum is σ = 2214272. Its totient is φ = 2214270.

The previous prime is 2214269. The next prime is 2214281. The reversal of 2214271 is 1724122.

Adding to 2214271 its reverse (1724122), we get a palindrome (3938393).

It can be divided in two parts, 2214 and 271, that added together give a triangular number (2485 = T70).

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2214271 - 21 = 2214269 is a prime.

It is a super-2 number, since 2×22142712 = 9805992122882, which contains 22 as substring.

Together with 2214269, it forms a pair of twin primes.

2214271 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2214221) 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, 1107135 + 1107136.

It is an arithmetic number, because the mean of its divisors is an integer number (1107136).

22214271 is an apocalyptic number.

2214271 is a deficient number, since it is larger than the sum of its proper divisors (1).

2214271 is an equidigital number, since it uses as much as digits as its factorization.

2214271 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 224, while the sum is 19.

The square root of 2214271 is about 1488.0426741193. The cubic root of 2214271 is about 130.3397621270.

The spelling of 2214271 in words is "two million, two hundred fourteen thousand, two hundred seventy-one".