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208865220 = 223561149383
BaseRepresentation
bin11000111001100…
…00011111000100
3112120000110012220
430130300133010
5411432141340
632420412340
75114216334
oct1434603704
9476013186
10208865220
11a7998593
1259b470b0
133436c4b5
141da4d0c4
151350aed0
hexc7307c4

208865220 has 96 divisors (see below), whose sum is σ = 599961600. Its totient is φ = 54274560.

The previous prime is 208865219. The next prime is 208865243. The reversal of 208865220 is 22568802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545149 + ... + 545531.

It is an arithmetic number, because the mean of its divisors is an integer number (6249600).

Almost surely, 2208865220 is an apocalyptic number.

208865220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208865220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299980800).

208865220 is an abundant number, since it is smaller than the sum of its proper divisors (391096380).

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

208865220 is a wasteful number, since it uses less digits than its factorization.

208865220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 208865220 is about 14452.1700792649. The cubic root of 208865220 is about 593.3196191194.

It can be divided in two parts, 20886 and 5220, that added together give a triangular number (26106 = T228).

The spelling of 208865220 in words is "two hundred eight million, eight hundred sixty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 149 183 244 298 305 366 383 447 596 610 732 745 766 894 915 1149 1220 1490 1532 1788 1830 1915 2235 2298 2980 3660 3830 4470 4596 5745 7660 8940 9089 11490 18178 22980 23363 27267 36356 45445 46726 54534 57067 70089 90890 93452 109068 114134 116815 136335 140178 171201 181780 228268 233630 272670 280356 285335 342402 350445 467260 545340 570670 684804 700890 856005 1141340 1401780 1712010 3424020 3481087 6962174 10443261 13924348 17405435 20886522 34810870 41773044 52216305 69621740 104432610 208865220