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200815230 = 235721121129
BaseRepresentation
bin10111111100000…
…11001001111110
3111222212110201010
423332003021332
5402402041410
631532100050
74655621100
oct1376031176
9458773633
10200815230
11a339a500
1257304626
13327b13a5
141c955570
151296ac20
hexbf8327e

200815230 has 144 divisors (see below), whose sum is σ = 616790160. Its totient is φ = 41690880.

The previous prime is 200815229. The next prime is 200815259. The reversal of 200815230 is 32518002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 200815197 and 200815206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 177306 + ... + 178434.

It is an arithmetic number, because the mean of its divisors is an integer number (4283265).

Almost surely, 2200815230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200815230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308395080).

200815230 is an abundant number, since it is smaller than the sum of its proper divisors (415974930).

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

200815230 is a wasteful number, since it uses less digits than its factorization.

200815230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 200815230 is about 14170.9290450556. The cubic root of 200815230 is about 585.5970527954.

The spelling of 200815230 in words is "two hundred million, eight hundred fifteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 121 147 154 165 210 231 242 245 294 330 363 385 462 490 539 605 726 735 770 847 1078 1129 1155 1210 1470 1617 1694 1815 2258 2310 2541 2695 3234 3387 3630 4235 5082 5390 5645 5929 6774 7903 8085 8470 11290 11858 12419 12705 15806 16170 16935 17787 23709 24838 25410 29645 33870 35574 37257 39515 47418 55321 59290 62095 74514 79030 86933 88935 110642 118545 124190 136609 165963 173866 177870 186285 237090 260799 273218 276605 331926 372570 409827 434665 521598 553210 608531 683045 819654 829815 869330 956263 1217062 1303995 1366090 1659630 1825593 1912526 2049135 2607990 2868789 3042655 3651186 4098270 4781315 5737578 6085310 6693841 9127965 9562630 13387682 14343945 18255930 20081523 28687890 33469205 40163046 66938410 100407615 200815230