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218930985 = 33571371251
BaseRepresentation
bin11010000110010…
…01111100101001
3120020221211212000
431003021330221
5422021242420
633420241213
75265611520
oct1503117451
9506854760
10218930985
111026430a9
12613a0209
1336484c80
142110d4b7
1514348690
hexd0c9f29

218930985 has 128 divisors (see below), whose sum is σ = 487710720. Its totient is φ = 90720000.

The previous prime is 218930983. The next prime is 218930989. The reversal of 218930985 is 589039812.

It is a happy number.

218930985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 218930985 - 21 = 218930983 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 218930985.

It is not an unprimeable number, because it can be changed into a prime (218930983) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 872110 + ... + 872360.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 2218930985 is an apocalyptic number.

It is an amenable number.

218930985 is an abundant number, since it is smaller than the sum of its proper divisors (268779735).

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

218930985 is a wasteful number, since it uses less digits than its factorization.

218930985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 218930985 is about 14796.3166024521. The cubic root of 218930985 is about 602.7016915123.

The spelling of 218930985 in words is "two hundred eighteen million, nine hundred thirty thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 71 91 105 117 135 189 195 213 251 273 315 351 355 455 497 585 639 753 819 923 945 1065 1255 1365 1491 1755 1757 1917 2259 2457 2485 2769 3195 3263 3765 4095 4473 4615 5271 6461 6777 7455 8307 8785 9585 9789 11295 12285 13419 13845 15813 16315 17821 19383 22365 22841 24921 26355 29367 32305 33885 41535 47439 48945 53463 58149 67095 68523 79065 88101 89105 96915 114205 124605 124747 146835 160389 174447 205569 231673 237195 267315 290745 342615 374241 440505 481167 616707 623735 695019 801945 872235 1027845 1122723 1158365 1621711 1871205 2085057 2405835 3083535 3368169 3475095 4865133 5613615 6255171 8108555 10425285 14595399 16840845 24325665 31275855 43786197 72976995 218930985