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205541145 = 3451926711
BaseRepresentation
bin11000100000001…
…00111100011001
3112022202120110000
430100010330121
5410104304040
632221243213
75044033215
oct1420047431
9468676400
10205541145
11a6028117
1258a03509
13337774a4
141d425945
15130a1130
hexc404f19

205541145 has 40 divisors (see below), whose sum is σ = 387858240. Its totient is φ = 103848480.

The previous prime is 205541143. The next prime is 205541197. The reversal of 205541145 is 541145502.

205541145 is a `hidden beast` number, since 205 + 5 + 411 + 45 = 666.

It is not a de Polignac number, because 205541145 - 21 = 205541143 is a prime.

It is a super-2 number, since 2×2055411452 = 84494324575822050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (205541143) 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 39 ways as a sum of consecutive naturals, for example, 5661 + ... + 21050.

It is an arithmetic number, because the mean of its divisors is an integer number (9696456).

Almost surely, 2205541145 is an apocalyptic number.

It is an amenable number.

205541145 is a deficient number, since it is larger than the sum of its proper divisors (182317095).

205541145 is a wasteful number, since it uses less digits than its factorization.

205541145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26747 (or 26738 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 205541145 is about 14336.7062116792. The cubic root of 205541145 is about 590.1552258431.

Adding to 205541145 its reverse (541145502), we get a palindrome (746686647).

The spelling of 205541145 in words is "two hundred five million, five hundred forty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 285 405 513 855 1539 2565 7695 26711 80133 133555 240399 400665 507509 721197 1201995 1522527 2163591 2537545 3605985 4567581 7612635 10817955 13702743 22837905 41108229 68513715 205541145