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206228904 = 233717163443
BaseRepresentation
bin11000100101011…
…00110110101000
3112101001111212120
430102230312220
5410243311104
632244111240
75052626310
oct1422546650
9471044776
10206228904
11a6457912
1259095520
133395854b
141d564440
1513189cd9
hexc4acda8

206228904 has 128 divisors (see below), whose sum is σ = 629130240. Its totient is φ = 54991872.

The previous prime is 206228899. The next prime is 206228909. The reversal of 206228904 is 409822602.

It is an interprime number because it is at equal distance from previous prime (206228899) and next prime (206228909).

It is not an unprimeable number, because it can be changed into a prime (206228909) by changing a digit.

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, 465307 + ... + 465749.

It is an arithmetic number, because the mean of its divisors is an integer number (4915080).

Almost surely, 2206228904 is an apocalyptic number.

206228904 is a gapful number since it is divisible by the number (24) 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 206228904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314565120).

206228904 is an abundant number, since it is smaller than the sum of its proper divisors (422901336).

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

206228904 is a wasteful number, since it uses less digits than its factorization.

206228904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 206228904 is about 14360.6721291171. The cubic root of 206228904 is about 590.8127303686.

The spelling of 206228904 in words is "two hundred six million, two hundred twenty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 163 168 204 238 326 357 408 443 476 489 652 714 886 952 978 1141 1304 1329 1428 1772 1956 2282 2658 2771 2856 3101 3423 3544 3912 4564 5316 5542 6202 6846 7531 8313 9128 9303 10632 11084 12404 13692 15062 16626 18606 19397 22168 22593 24808 27384 30124 33252 37212 38794 45186 52717 58191 60248 66504 72209 74424 77588 90372 105434 116382 144418 155176 158151 180744 210868 216627 232764 288836 316302 421736 433254 465528 505463 577672 632604 866508 1010926 1227553 1265208 1516389 1733016 2021852 2455106 3032778 3682659 4043704 4910212 6065556 7365318 8592871 9820424 12131112 14730636 17185742 25778613 29461272 34371484 51557226 68742968 103114452 206228904