Search a number
-
+
2277733 is a prime number
BaseRepresentation
bin1000101100000101100101
311021201110111
420230011211
51040341413
6120453021
725234423
oct10540545
94251414
102277733
111316327
1291a171
13619993
14434113
152eed3d
hex22c165

2277733 has 2 divisors, whose sum is σ = 2277734. Its totient is φ = 2277732.

The previous prime is 2277731. The next prime is 2277767. The reversal of 2277733 is 3377722.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2211169 + 66564 = 1487^2 + 258^2 .

It is a cyclic number.

It is not a de Polignac number, because 2277733 - 21 = 2277731 is a prime.

Together with 2277731, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 29 + 221 + 72 + 73 + 73 + 37 + 311 .

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2277695 and 2277704.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2277731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1138866 + 1138867.

It is an arithmetic number, because the mean of its divisors is an integer number (1138867).

22277733 is an apocalyptic number.

It is an amenable number.

2277733 is a deficient number, since it is larger than the sum of its proper divisors (1).

2277733 is an equidigital number, since it uses as much as digits as its factorization.

2277733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12348, while the sum is 31.

The square root of 2277733 is about 1509.2160216483. The cubic root of 2277733 is about 131.5732506923.

The spelling of 2277733 in words is "two million, two hundred seventy-seven thousand, seven hundred thirty-three".