Search a number
-
+
223037081 is a prime number
BaseRepresentation
bin11010100101101…
…00011010011001
3120112200110100122
431102310122121
5424044141311
634044243025
75345532611
oct1522643231
9515613318
10223037081
11104998073
1262840475
1337291c07
142189ba41
15148aa0db
hexd4b4699

223037081 has 2 divisors, whose sum is σ = 223037082. Its totient is φ = 223037080.

The previous prime is 223037077. The next prime is 223037083. The reversal of 223037081 is 180730322.

223037081 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., 114147856 + 108889225 = 10684^2 + 10435^2 .

It is a cyclic number.

It is not a de Polignac number, because 223037081 - 22 = 223037077 is a prime.

It is a super-2 number, since 2×2230370812 = 99491079002001122, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 223037083, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 223037081.

It is not a weakly prime, because it can be changed into another prime (223037083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111518540 + 111518541.

It is an arithmetic number, because the mean of its divisors is an integer number (111518541).

Almost surely, 2223037081 is an apocalyptic number.

It is an amenable number.

223037081 is a deficient number, since it is larger than the sum of its proper divisors (1).

223037081 is an equidigital number, since it uses as much as digits as its factorization.

223037081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 223037081 is about 14934.4260351712. The cubic root of 223037081 is about 606.4463095300.

The spelling of 223037081 in words is "two hundred twenty-three million, thirty-seven thousand, eighty-one".