Search a number
-
+
205234152255 = 3251110316372459
BaseRepresentation
bin1011111100100011101…
…0001010001100111111
3201121202010021011120100
42333020322022030333
511330304420333010
6234141104052143
720553615340056
oct2771072121477
9647663234510
10205234152255
117a048368270
1233938604053
1316479831ca2
149d0d2d539d
155512c2e2c0
hex2fc8e8a33f

205234152255 has 96 divisors (see below), whose sum is σ = 392245701120. Its totient is φ = 98441130240.

The previous prime is 205234152251. The next prime is 205234152287. The reversal of 205234152255 is 552251432502.

205234152255 is a `hidden beast` number, since 2 + 0 + 52 + 34 + 1 + 522 + 55 = 666.

It is not a de Polignac number, because 205234152255 - 22 = 205234152251 is a prime.

It is a super-3 number, since 3×2052341522553 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205234152251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83461216 + ... + 83463674.

It is an arithmetic number, because the mean of its divisors is an integer number (4085892720).

Almost surely, 2205234152255 is an apocalyptic number.

205234152255 is a deficient number, since it is larger than the sum of its proper divisors (187011548865).

205234152255 is a wasteful number, since it uses less digits than its factorization.

205234152255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 205234152255 its reverse (552251432502), we get a palindrome (757485584757).

The spelling of 205234152255 in words is "two hundred five billion, two hundred thirty-four million, one hundred fifty-two thousand, two hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 103 165 309 495 515 927 1133 1545 1637 2459 3399 4635 4911 5665 7377 8185 10197 12295 14733 16995 18007 22131 24555 27049 36885 50985 54021 73665 81147 90035 110655 135245 162063 168611 243441 253277 270105 405735 505833 759831 810315 843055 1217205 1266385 1517499 1854721 2279493 2529165 2786047 3799155 4025383 5564163 7587495 8358141 9273605 11397465 12076149 13930235 16692489 20126915 25074423 27820815 36228447 41790705 44279213 60380745 83462445 125372115 132837639 181142235 221396065 398512917 414614449 664188195 1243843347 1992564585 2073072245 3731530041 4560758939 6219216735 13682276817 18657650205 22803794695 41046830451 68411384085 205234152255