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209980337 = 724285313
BaseRepresentation
bin11001000010000…
…00101110110001
3112122010002212112
430201000232301
5412223332322
632500335105
75126542400
oct1441005661
9478102775
10209980337
11a858a376
125a3a4495
133466cc28
141dc5d637
151367b5e2
hexc840bb1

209980337 has 6 divisors (see below), whose sum is σ = 244262898. Its totient is φ = 179983104.

The previous prime is 209980327. The next prime is 209980367. The reversal of 209980337 is 733089902.

It can be written as a sum of positive squares in only one way, i.e., 198359056 + 11621281 = 14084^2 + 3409^2 .

It is not a de Polignac number, because 209980337 - 26 = 209980273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 209980294 and 209980303.

It is not an unprimeable number, because it can be changed into a prime (209980327) 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 in 5 ways as a sum of consecutive naturals, for example, 2142608 + ... + 2142705.

It is an arithmetic number, because the mean of its divisors is an integer number (40710483).

Almost surely, 2209980337 is an apocalyptic number.

It is an amenable number.

209980337 is a deficient number, since it is larger than the sum of its proper divisors (34282561).

209980337 is an equidigital number, since it uses as much as digits as its factorization.

209980337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285327 (or 4285320 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 209980337 is about 14490.6982923529. The cubic root of 209980337 is about 594.3736430564.

The spelling of 209980337 in words is "two hundred nine million, nine hundred eighty thousand, three hundred thirty-seven".

Divisors: 1 7 49 4285313 29997191 209980337