Search a number
-
+
2267381 is a prime number
BaseRepresentation
bin1000101001100011110101
311021012021002
420221203311
51040024011
6120333045
725162304
oct10514365
94235232
102267381
111309576
12914185
1361505c
1443043b
152ebc3b
hex2298f5

2267381 has 2 divisors, whose sum is σ = 2267382. Its totient is φ = 2267380.

The previous prime is 2267303. The next prime is 2267383. The reversal of 2267381 is 1837622.

It is a happy number.

2267381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1612900 + 654481 = 1270^2 + 809^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2267381 is a prime.

It is a super-2 number, since 2×22673812 = 10282033198322, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 2267383, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2267383) 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, 1133690 + 1133691.

It is an arithmetic number, because the mean of its divisors is an integer number (1133691).

22267381 is an apocalyptic number.

It is an amenable number.

2267381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2267381 is an equidigital number, since it uses as much as digits as its factorization.

2267381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4032, while the sum is 29.

The square root of 2267381 is about 1505.7825208177. The cubic root of 2267381 is about 131.3736201886.

The spelling of 2267381 in words is "two million, two hundred sixty-seven thousand, three hundred eighty-one".