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806882220 = 2232517215511
BaseRepresentation
bin110000000110000…
…000101110101100
32002020021212022200
4300012000232230
53123030212340
6212022141500
725665246204
oct6006005654
92066255280
10806882220
11384511611
121a6281890
13cb222601
147923b404
154ac86330
hex30180bac

806882220 has 108 divisors (see below), whose sum is σ = 2600152464. Its totient is φ = 202498560.

The previous prime is 806882183. The next prime is 806882243. The reversal of 806882220 is 22288608.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44265 + ... + 59775.

Almost surely, 2806882220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806882220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300076232).

806882220 is an abundant number, since it is smaller than the sum of its proper divisors (1793270244).

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

806882220 is a wasteful number, since it uses less digits than its factorization.

806882220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15560 (or 15538 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 806882220 is about 28405.6723208587. The cubic root of 806882220 is about 930.9722056570.

The spelling of 806882220 in words is "eight hundred six million, eight hundred eighty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1156 1445 1530 1734 2601 2890 3060 3468 4335 5202 5780 8670 10404 13005 15511 17340 26010 31022 46533 52020 62044 77555 93066 139599 155110 186132 232665 263687 279198 310220 465330 527374 558396 697995 791061 930660 1054748 1318435 1395990 1582122 2373183 2636870 2791980 3164244 3955305 4482679 4746366 5273740 7910610 8965358 9492732 11865915 13448037 15821220 17930716 22413395 23731830 26896074 40344111 44826790 47463660 53792148 67240185 80688222 89653580 134480370 161376444 201720555 268960740 403441110 806882220