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205021154340 = 223254724234179
BaseRepresentation
bin1011111011110000110…
…1101000110000100100
3201121012021110202100200
42332330031220300210
511324340403414330
6234104014510500
720545421025642
oct2767415506044
9647167422320
10205021154340
1179a49107832
1233899205430
1316444676712
149cccccc192
1554ee1a8a60
hex2fbc368c24

205021154340 has 72 divisors (see below), whose sum is σ = 635129389440. Its totient is φ = 53509065024.

The previous prime is 205021154297. The next prime is 205021154341. The reversal of 205021154340 is 43451120502.

205021154340 is a `hidden beast` number, since 2 + 0 + 502 + 1 + 154 + 3 + 4 + 0 = 666.

205021154340 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 2×2050211543402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205021154341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12108630 + ... + 12125549.

It is an arithmetic number, because the mean of its divisors is an integer number (8821241520).

Almost surely, 2205021154340 is an apocalyptic number.

205021154340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205021154340 is an abundant number, since it is smaller than the sum of its proper divisors (430108235100).

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

205021154340 is a wasteful number, since it uses less digits than its factorization.

205021154340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24234241 (or 24234236 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 205021154340 its reverse (43451120502), we get a palindrome (248472274842).

The spelling of 205021154340 in words is "two hundred five billion, twenty-one million, one hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 24234179 48468358 72702537 96936716 121170895 145405074 218107611 242341790 290810148 363512685 436215222 484683580 727025370 872430444 1090538055 1139006413 1454050740 2181076110 2278012826 3417019239 4362152220 4556025652 5695032065 6834038478 10251057717 11390064130 13668076956 17085096195 20502115434 22780128260 34170192390 41004230868 51255288585 68340384780 102510577170 205021154340