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205814345 = 51121093121
BaseRepresentation
bin11000100010001…
…11101001001001
3112100021110012112
430101013221021
5410142024340
632231152105
75046251552
oct1421075111
9470243175
10205814345
11a61a4400
1258b15635
1333841949
141d497329
1513107065
hexc447a49

205814345 has 24 divisors (see below), whose sum is σ = 274049160. Its totient is φ = 148262400.

The previous prime is 205814299. The next prime is 205814377. The reversal of 205814345 is 543418502.

It can be written as a sum of positive squares in 4 ways, for example, as 379456 + 205434889 = 616^2 + 14333^2 .

It is not a de Polignac number, because 205814345 - 212 = 205810249 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64385 + ... + 67505.

It is an arithmetic number, because the mean of its divisors is an integer number (11418715).

Almost surely, 2205814345 is an apocalyptic number.

It is an amenable number.

205814345 is a deficient number, since it is larger than the sum of its proper divisors (68234815).

205814345 is a wasteful number, since it uses less digits than its factorization.

205814345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 205814345 is about 14346.2310381508. The cubic root of 205814345 is about 590.4165831267.

The spelling of 205814345 in words is "two hundred five million, eight hundred fourteen thousand, three hundred forty-five".

Divisors: 1 5 11 55 109 121 545 605 1199 3121 5995 13189 15605 34331 65945 171655 340189 377641 1700945 1888205 3742079 18710395 41162869 205814345