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244205 = 5132172
BaseRepresentation
bin111011100111101101
3110101222122
4323213231
530303310
65122325
72034653
oct734755
9411878
10244205
11157525
12b93a5
1387200
1464dd3
154c555
hex3b9ed

244205 has 18 divisors (see below), whose sum is σ = 337086. Its totient is φ = 169728.

The previous prime is 244199. The next prime is 244217. The reversal of 244205 is 502442.

It can be written as a sum of positive squares in 9 ways, for example, as 68644 + 175561 = 262^2 + 419^2 .

It is not a de Polignac number, because 244205 - 26 = 244141 is a prime.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 14357 + ... + 14373.

It is an arithmetic number, because the mean of its divisors is an integer number (18727).

2244205 is an apocalyptic number.

It is an amenable number.

244205 is a deficient number, since it is larger than the sum of its proper divisors (92881).

244205 is a wasteful number, since it uses less digits than its factorization.

244205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 244205 is about 494.1710230275. The cubic root of 244205 is about 62.5054928506.

244205 divided by its sum of digits (17) gives a triangular number (14365 = T169).

Multiplying 244205 by its product of nonzero digits (320), we get a square (78145600 = 88402).

Adding to 244205 its reverse (502442), we get a palindrome (746647).

It can be divided in two parts, 2 and 44205, that multiplied together give a triangular number (88410 = T420).

The spelling of 244205 in words is "two hundred forty-four thousand, two hundred five".

Divisors: 1 5 13 17 65 85 169 221 289 845 1105 1445 2873 3757 14365 18785 48841 244205