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205420475 = 52132327481
BaseRepresentation
bin11000011111001…
…11011110111011
3112022112102220202
430033213132323
5410041423400
632214512415
75043021341
oct1417473673
9468472822
10205420475
11a5a55497
125896570b
13337345a0
141d3d3991
151307a4d5
hexc3e77bb

205420475 has 24 divisors (see below), whose sum is σ = 286252512. Its totient is φ = 145094400.

The previous prime is 205420451. The next prime is 205420483. The reversal of 205420475 is 574024502.

It is a happy number.

It is not a de Polignac number, because 205420475 - 210 = 205419451 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6266 + ... + 21215.

It is an arithmetic number, because the mean of its divisors is an integer number (11927188).

Almost surely, 2205420475 is an apocalyptic number.

205420475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

205420475 is a deficient number, since it is larger than the sum of its proper divisors (80832037).

205420475 is a wasteful number, since it uses less digits than its factorization.

205420475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27527 (or 27522 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 205420475 is about 14332.4971655326. The cubic root of 205420475 is about 590.0397129258.

Adding to 205420475 its reverse (574024502), we get a palindrome (779444977).

The spelling of 205420475 in words is "two hundred five million, four hundred twenty thousand, four hundred seventy-five".

Divisors: 1 5 13 23 25 65 115 299 325 575 1495 7475 27481 137405 357253 632063 687025 1786265 3160315 8216819 8931325 15801575 41084095 205420475