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209965441 = 724285009
BaseRepresentation
bin11001000001111…
…01000110000001
3112122002100102211
430200331012001
5412222343231
632500142121
75126451100
oct1440750601
9478070384
10209965441
11a857a164
125a397941
133466620a
141dc58037
1513676eb1
hexc83d181

209965441 has 6 divisors (see below), whose sum is σ = 244245570. Its totient is φ = 179970336.

The previous prime is 209965439. The next prime is 209965463. The reversal of 209965441 is 144569902.

It can be written as a sum of positive squares in only one way, i.e., 201526416 + 8439025 = 14196^2 + 2905^2 .

It is not a de Polignac number, because 209965441 - 21 = 209965439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 209965394 and 209965403.

It is not an unprimeable number, because it can be changed into a prime (209965411) 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, 2142456 + ... + 2142553.

It is an arithmetic number, because the mean of its divisors is an integer number (40707595).

Almost surely, 2209965441 is an apocalyptic number.

It is an amenable number.

209965441 is a deficient number, since it is larger than the sum of its proper divisors (34280129).

209965441 is an equidigital number, since it uses as much as digits as its factorization.

209965441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285023 (or 4285016 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 209965441 is about 14490.1842983449. The cubic root of 209965441 is about 594.3595877735.

The spelling of 209965441 in words is "two hundred nine million, nine hundred sixty-five thousand, four hundred forty-one".

Divisors: 1 7 49 4285009 29995063 209965441