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205230133460250 = 23253250733637913
BaseRepresentation
bin101110101010011111011101…
…001100111011110100011010
3222220122210211212110020220100
4232222133131030323310122
5203344442303131212000
62004253231032440230
761141250012234523
oct5652373514736432
9886583755406810
10205230133460250
115a435679aaa768
121b026b84549076
138a69170594b62
14389729751784a
1518ad790422a00
hexbaa7dd33bd1a

205230133460250 has 96 divisors (see below), whose sum is σ = 554964566489424. Its totient is φ = 54725837798400.

The previous prime is 205230133460221. The next prime is 205230133460257. The reversal of 205230133460250 is 52064331032502.

205230133460250 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 3 + 0 + 13 + 34 + 602 + 5 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15905715310809 + 189324418149441 = 3988197^2 + 13759521^2 .

It is a super-2 number, since 2×2052301334602502 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205230133460257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54595294 + ... + 58233206.

Almost surely, 2205230133460250 is an apocalyptic number.

205230133460250 is an abundant number, since it is smaller than the sum of its proper divisors (349734433029174).

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

205230133460250 is a wasteful number, since it uses less digits than its factorization.

205230133460250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663009 (or 3662996 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 205230133460250 its reverse (52064331032502), we get a palindrome (257294464492752).

The spelling of 205230133460250 in words is "two hundred five trillion, two hundred thirty billion, one hundred thirty-three million, four hundred sixty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 750 1125 2250 25073 50146 75219 125365 150438 225657 250730 376095 451314 626825 752190 1128285 1253650 1880475 2256570 3134125 3637913 3760950 5641425 6268250 7275826 9402375 10913739 11282850 18189565 18804750 21827478 28207125 32741217 36379130 54568695 56414250 65482434 90947825 109137390 163706085 181895650 272843475 327412170 454739125 545686950 818530425 909478250 1364217375 1637060850 2728434750 4092652125 8185304250 91213392649 182426785298 273640177947 456066963245 547280355894 820920533841 912133926490 1368200889735 1641841067682 2280334816225 2736401779470 4104602669205 4560669632450 6841004448675 8209205338410 11401674081125 13682008897350 20523013346025 22803348162250 34205022243375 41046026692050 68410044486750 102615066730125 205230133460250