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204220434114 = 2335383859709
BaseRepresentation
bin1011111000110001111…
…1001000011011000010
3201112010110202221201000
42332030133020123002
511321220412342424
6233452332352430
720516526022434
oct2761437103302
9645113687630
10204220434114
1179678124884
12336b5015716
1316347800a78
149c54816654
1554a3c3d3c9
hex2f8c7c86c2

204220434114 has 64 divisors (see below), whose sum is σ = 467957347200. Its totient is φ = 65984308416.

The previous prime is 204220434059. The next prime is 204220434161. The reversal of 204220434114 is 411434022402.

204220434114 is a `hidden beast` number, since 2 + 0 + 4 + 220 + 434 + 1 + 1 + 4 = 666.

204220434114 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 2×2042204341142 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 192309 + ... + 667400.

It is an arithmetic number, because the mean of its divisors is an integer number (7311833550).

Almost surely, 2204220434114 is an apocalyptic number.

204220434114 is an abundant number, since it is smaller than the sum of its proper divisors (263736913086).

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

204220434114 is a wasteful number, since it uses less digits than its factorization.

204220434114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859856 (or 859850 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 204220434114 its reverse (411434022402), we get a palindrome (615654456516).

The spelling of 204220434114 in words is "two hundred four billion, two hundred twenty million, four hundred thirty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 83 106 159 166 249 318 477 498 747 954 1431 1494 2241 2862 4399 4482 8798 13197 26394 39591 79182 118773 237546 859709 1719418 2579127 5158254 7737381 15474762 23212143 45564577 46424286 71355847 91129154 136693731 142711694 214067541 273387462 410081193 428135082 642202623 820162386 1230243579 1284405246 1926607869 2460487158 3781859891 3853215738 7563719782 11345579673 22691159346 34036739019 68073478038 102110217057 204220434114