Search a number
-
+
197318209 = 11212772
BaseRepresentation
bin10111100001011…
…01011001000001
3111202021210200211
423300231121001
5401003140314
631325114121
74614114514
oct1360553101
9452253624
10197318209
11a1421100
12560b8941
1331b5874a
141c2c4d7b
15124c99c4
hexbc2d641

197318209 has 9 divisors (see below), whose sum is σ = 217056931. Its totient is φ = 179239720.

The previous prime is 197318203. The next prime is 197318237. The reversal of 197318209 is 902813791.

The square root of 197318209 is 14047.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 129618225 + 67699984 = 11385^2 + 8228^2 .

It is a de Polignac number, because none of the positive numbers 2k-197318209 is a prime.

It is a super-3 number, since 3×1973182093 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (197318203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 153879 + ... + 155155.

Almost surely, 2197318209 is an apocalyptic number.

197318209 is the 14047-th square number.

197318209 is the 7024-th centered octagonal number.

It is an amenable number.

197318209 is a deficient number, since it is larger than the sum of its proper divisors (19738722).

197318209 is an frugal number, since it uses more digits than its factorization.

197318209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The cubic root of 197318209 is about 582.1779085931.

The spelling of 197318209 in words is "one hundred ninety-seven million, three hundred eighteen thousand, two hundred nine".

Divisors: 1 11 121 1277 14047 154517 1630729 17938019 197318209