Search a number
-
+
213446993 is a prime number
BaseRepresentation
bin11001011100011…
…11000101010001
3112212122020020012
430232033011101
5414120300433
633102524305
75201161304
oct1456170521
9485566205
10213446993
11aa537981
125b596695
13352b4ac6
14204c2b3b
1513b13848
hexcb8f151

213446993 has 2 divisors, whose sum is σ = 213446994. Its totient is φ = 213446992.

The previous prime is 213446957. The next prime is 213447011. The reversal of 213446993 is 399644312.

213446993 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., 156550144 + 56896849 = 12512^2 + 7543^2 .

It is a cyclic number.

It is not a de Polignac number, because 213446993 - 26 = 213446929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213446993.

It is not a weakly prime, because it can be changed into another prime (213446393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106723496 + 106723497.

It is an arithmetic number, because the mean of its divisors is an integer number (106723497).

Almost surely, 2213446993 is an apocalyptic number.

It is an amenable number.

213446993 is a deficient number, since it is larger than the sum of its proper divisors (1).

213446993 is an equidigital number, since it uses as much as digits as its factorization.

213446993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 139968, while the sum is 41.

The square root of 213446993 is about 14609.8252214049. The cubic root of 213446993 is about 597.6267296531.

The spelling of 213446993 in words is "two hundred thirteen million, four hundred forty-six thousand, nine hundred ninety-three".