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205132275 = 32521575807
BaseRepresentation
bin11000011101000…
…01000111110011
3112021222210120200
430032201013303
5410003213100
632204410243
75040411165
oct1416410763
9467883520
10205132275
11a5878a07
1258846983
133366335a
141d35a935
151301ee00
hexc3a11f3

205132275 has 36 divisors (see below), whose sum is σ = 369818592. Its totient is φ = 108688320.

The previous prime is 205132271. The next prime is 205132289. The reversal of 205132275 is 572231502.

205132275 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205132275 - 22 = 205132271 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205132271) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32422 + ... + 38228.

Almost surely, 2205132275 is an apocalyptic number.

205132275 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

205132275 is a deficient number, since it is larger than the sum of its proper divisors (164686317).

205132275 is a wasteful number, since it uses less digits than its factorization.

205132275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980 (or 5972 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 205132275 is about 14322.4395617506. The cubic root of 205132275 is about 589.7636465918.

Adding to 205132275 its reverse (572231502), we get a palindrome (777363777).

The spelling of 205132275 in words is "two hundred five million, one hundred thirty-two thousand, two hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 157 225 471 785 1413 2355 3925 5807 7065 11775 17421 29035 35325 52263 87105 145175 261315 435525 911699 1306575 2735097 4558495 8205291 13675485 22792475 41026455 68377425 205132275