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205233345 = 34519149179
BaseRepresentation
bin11000011101110…
…01110011000001
3112022011221020000
430032321303001
5410014431340
632210510213
75041311642
oct1416716301
9468157200
10205233345
11a5937939
1258895369
133369a365
141d3856c9
151303ed30
hexc3b9cc1

205233345 has 80 divisors (see below), whose sum is σ = 392040000. Its totient is φ = 102425472.

The previous prime is 205233317. The next prime is 205233359. The reversal of 205233345 is 543332502.

205233345 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 205233345 - 28 = 205233089 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1146466 + ... + 1146644.

It is an arithmetic number, because the mean of its divisors is an integer number (4900500).

Almost surely, 2205233345 is an apocalyptic number.

It is an amenable number.

205233345 is a deficient number, since it is larger than the sum of its proper divisors (186806655).

205233345 is a wasteful number, since it uses less digits than its factorization.

205233345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 205233345 is about 14325.9675065944. The cubic root of 205233345 is about 589.8604908106.

Adding to 205233345 its reverse (543332502), we get a palindrome (748565847).

The spelling of 205233345 in words is "two hundred five million, two hundred thirty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 149 171 179 285 405 447 513 537 745 855 895 1341 1539 1611 2235 2565 2685 2831 3401 4023 4833 6705 7695 8055 8493 10203 12069 14155 14499 17005 20115 24165 25479 26671 30609 42465 51015 60345 72495 76437 80013 91827 127395 133355 153045 229311 240039 275481 382185 400065 459135 506749 720117 1146555 1200195 1377405 1520247 2160351 2533745 3600585 4560741 7601235 10801755 13682223 22803705 41046669 68411115 205233345