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206286388220 = 2251131137220783
BaseRepresentation
bin1100000000011110100…
…0000111101111111100
3201201110110020021221202
43000013220013233330
511334433303410340
6234433333115032
720621653240313
oct3000750075774
9651413207852
10206286388220
117a538319770
1233b90a88a78
13165b682b213
149dacd5d27a
1555752ccc15
hex3007a07bfc

206286388220 has 96 divisors (see below), whose sum is σ = 491391000576. Its totient is φ = 72063244800.

The previous prime is 206286388207. The next prime is 206286388237. The reversal of 206286388220 is 22883682602.

206286388220 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 823949 + ... + 1044731.

It is an arithmetic number, because the mean of its divisors is an integer number (5118656256).

Almost surely, 2206286388220 is an apocalyptic number.

206286388220 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 206286388220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245695500288).

206286388220 is an abundant number, since it is smaller than the sum of its proper divisors (285104612356).

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

206286388220 is a wasteful number, since it uses less digits than its factorization.

206286388220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220971 (or 220969 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 47.

The spelling of 206286388220 in words is "two hundred six billion, two hundred eighty-six million, three hundred eighty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 137 155 220 274 310 341 548 620 682 685 1364 1370 1507 1705 2740 3014 3410 4247 6028 6820 7535 8494 15070 16988 21235 30140 42470 46717 84940 93434 186868 220783 233585 441566 467170 883132 934340 1103915 2207830 2428613 4415660 4857226 6844273 9714452 12143065 13688546 24286130 27377092 30247271 34221365 48572260 60494542 68442730 75287003 120989084 136885460 150574006 151236355 301148012 302472710 332719981 376435015 604945420 665439962 752870030 937665401 1330879924 1505740060 1663599905 1875330802 3327199810 3750661604 4688327005 6654399620 9376654010 10314319411 18753308020 20628638822 41257277644 51571597055 103143194110 206286388220