Search a number
-
+
225355133244330 = 232517451732608133
BaseRepresentation
bin110011001111010110010100…
…101010100101001110101010
31002112220201222201001201102200
4303033112110222211032222
5214014204303102304310
62115142415150041030
765316241166020005
oct6317262452451652
91075821881051380
10225355133244330
11658946367a1681
12213374021a9176
139898b8984746b
143d91364b2453c
151b0c00e1719c0
hexccf594aa53aa

225355133244330 has 96 divisors (see below), whose sum is σ = 620526790123344. Its totient is φ = 56547196459008.

The previous prime is 225355133244271. The next prime is 225355133244341. The reversal of 225355133244330 is 33442331553522.

225355133244330 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 551 + 3 + 3 + 24 + 43 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 113092441367049 + 112262691877281 = 10634493^2 + 10595409^2 .

It is a super-3 number, since 3×2253551332443303 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9393057 + ... + 23215076.

Almost surely, 2225355133244330 is an apocalyptic number.

225355133244330 is an abundant number, since it is smaller than the sum of its proper divisors (395171656879014).

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

225355133244330 is a wasteful number, since it uses less digits than its factorization.

225355133244330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32612680 (or 32612677 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 45.

Adding to 225355133244330 its reverse (33442331553522), we get a palindrome (258797464797852).

The spelling of 225355133244330 in words is "two hundred twenty-five trillion, three hundred fifty-five billion, one hundred thirty-three million, two hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 4517 9034 13551 22585 27102 40653 45170 67755 76789 81306 135510 153578 203265 230367 383945 406530 460734 691101 767890 1151835 1382202 2303670 3455505 6911010 32608133 65216266 97824399 163040665 195648798 293473197 326081330 489121995 554338261 586946394 978243990 1108676522 1467365985 1663014783 2771691305 2934731970 3326029566 4989044349 5543382610 8315073915 9978088698 16630147830 24945221745 49890443490 147290936761 294581873522 441872810283 736454683805 883745620566 1325618430849 1472909367610 2209364051415 2503945924937 2651236861698 4418728102830 5007891849874 6628092154245 7511837774811 12519729624685 13256184308490 15023675549622 22535513324433 25039459249370 37559188874055 45071026648866 75118377748110 112677566622165 225355133244330