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205420572 = 223272928109
BaseRepresentation
bin11000011111001…
…11100000011100
3112022112110001100
430033213200130
5410041424242
632214513100
75043021540
oct1417474034
9468473040
10205420572
11a5a55575
1258965790
1333734646
141d3d3a20
151307a54c
hexc3e781c

205420572 has 72 divisors (see below), whose sum is σ = 613922400. Its totient is φ = 56665728.

The previous prime is 205420549. The next prime is 205420573. The reversal of 205420572 is 275024502.

205420572 is a `hidden beast` number, since 20 + 54 + 20 + 572 = 666.

205420572 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2054205722 = 84395222801614368, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205420573) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6747 + ... + 21362.

It is an arithmetic number, because the mean of its divisors is an integer number (8526700).

Almost surely, 2205420572 is an apocalyptic number.

It is an amenable number.

205420572 is an abundant number, since it is smaller than the sum of its proper divisors (408501828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205420572 is a wasteful number, since it uses less digits than its factorization.

205420572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28155 (or 28150 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 205420572 is about 14332.5005494505. The cubic root of 205420572 is about 590.0398057985.

The spelling of 205420572 in words is "two hundred five million, four hundred twenty thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 28109 56218 84327 112436 168654 196763 252981 337308 393526 505962 590289 787052 815161 1011924 1180578 1630322 1770867 2361156 2445483 3260644 3541734 4890966 5706127 7083468 7336449 9781932 11412254 14672898 17118381 22824508 29345796 34236762 51355143 68473524 102710286 205420572