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205234276 = 22132192292
BaseRepresentation
bin11000011101110…
…10000001100100
3112022011222111111
430032322001210
5410014444101
632210514404
75041314442
oct1416720144
9468158444
10205234276
11a5938605
1258895a04
133369a900
141d385b92
1513040251
hexc3ba064

205234276 has 81 divisors (see below), whose sum is σ = 425101131. Its totient is φ = 86643648.

The previous prime is 205234261. The next prime is 205234279. The reversal of 205234276 is 672432502.

The square root of 205234276 is 14326.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 26316900 + 178917376 = 5130^2 + 13376^2 .

It is a super-2 number, since 2×2052342762 = 84242216090488352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205234279) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7077030 + ... + 7077058.

Almost surely, 2205234276 is an apocalyptic number.

205234276 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

205234276 is the 14326-th square number.

It is an amenable number.

205234276 is an abundant number, since it is smaller than the sum of its proper divisors (219866855).

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

205234276 is a wasteful number, since it uses less digits than its factorization.

205234276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The cubic root of 205234276 is about 589.8613827373.

Adding to 205234276 its reverse (672432502), we get a palindrome (877666778).

The spelling of 205234276 in words is "two hundred five million, two hundred thirty-four thousand, two hundred seventy-six".

Divisors: 1 2 4 13 19 26 29 38 52 58 76 116 169 247 338 361 377 494 551 676 722 754 841 988 1102 1444 1508 1682 2204 3211 3364 4693 4901 6422 7163 9386 9802 10469 10933 12844 14326 15979 18772 19604 20938 21866 28652 31958 41876 43732 61009 63916 93119 122018 136097 142129 186238 207727 244036 272194 284258 303601 372476 415454 544388 568516 607202 830908 1214404 1769261 2700451 3538522 3946813 5400902 7077044 7893626 10801804 15787252 51308569 102617138 205234276