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209197937 = 13171496353
BaseRepresentation
bin11000111100000…
…01101101110001
3112120122100121202
430132001231301
5412023313222
632431500545
75120103344
oct1436015561
9476570552
10209197937
11a80a5563
125a087755
1334457a80
141dad845b
1513574892
hexc781b71

209197937 has 16 divisors (see below), whose sum is σ = 240181200. Its totient is φ = 180498432.

The previous prime is 209197921. The next prime is 209197939. The reversal of 209197937 is 739791902.

209197937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 16654561 + 192543376 = 4081^2 + 13876^2 .

It is a cyclic number.

It is not a de Polignac number, because 209197937 - 24 = 209197921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 209197891 and 209197900.

It is not an unprimeable number, because it can be changed into a prime (209197939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29753 + ... + 36105.

It is an arithmetic number, because the mean of its divisors is an integer number (15011325).

Almost surely, 2209197937 is an apocalyptic number.

It is an amenable number.

209197937 is a deficient number, since it is larger than the sum of its proper divisors (30983263).

209197937 is a wasteful number, since it uses less digits than its factorization.

209197937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6532.

The product of its (nonzero) digits is 214326, while the sum is 47.

The square root of 209197937 is about 14463.6764690033. The cubic root of 209197937 is about 593.6344996831.

The spelling of 209197937 in words is "two hundred nine million, one hundred ninety-seven thousand, nine hundred thirty-seven".

Divisors: 1 13 17 149 221 1937 2533 6353 32929 82589 108001 946597 1404013 12305761 16092149 209197937