Search a number
-
+
22827793 is a prime number
BaseRepresentation
bin101011100010…
…1001100010001
31120221202211211
41113011030101
521320442133
62133140121
7365014222
oct127051421
946852754
1022827793
111198194a
12778a641
134963591
143063249
15200dbcd
hex15c5311

22827793 has 2 divisors, whose sum is σ = 22827794. Its totient is φ = 22827792.

The previous prime is 22827773. The next prime is 22827803. The reversal of 22827793 is 39772822.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15303744 + 7524049 = 3912^2 + 2743^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22827793 is a prime.

It is a super-2 number, since 2×228277932 = 1042216266501698, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22827713) 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, 11413896 + 11413897.

It is an arithmetic number, because the mean of its divisors is an integer number (11413897).

Almost surely, 222827793 is an apocalyptic number.

It is an amenable number.

22827793 is a deficient number, since it is larger than the sum of its proper divisors (1).

22827793 is an equidigital number, since it uses as much as digits as its factorization.

22827793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84672, while the sum is 40.

The square root of 22827793 is about 4777.8439698257. The cubic root of 22827793 is about 283.6751600641.

The spelling of 22827793 in words is "twenty-two million, eight hundred twenty-seven thousand, seven hundred ninety-three".