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206201996 = 227311131051
BaseRepresentation
bin11000100101001…
…10010010001100
3112101000010221222
430102212102030
5410241430441
632243342512
75052455000
oct1422462214
9471003858
10206201996
11a6439680
1259081a38
1333949220
141d558700
1513181d4b
hexc4a648c

206201996 has 96 divisors (see below), whose sum is σ = 494860800. Its totient is φ = 74088000.

The previous prime is 206201981. The next prime is 206202013. The reversal of 206201996 is 699102602.

206201996 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 195671 + ... + 196721.

It is an arithmetic number, because the mean of its divisors is an integer number (5154800).

Almost surely, 2206201996 is an apocalyptic number.

206201996 is a gapful number since it is divisible by the number (26) 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 206201996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247430400).

206201996 is an abundant number, since it is smaller than the sum of its proper divisors (288658804).

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

206201996 is a wasteful number, since it uses less digits than its factorization.

206201996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 206201996 is about 14359.7352343280. The cubic root of 206201996 is about 590.7870335496.

It can be divided in two parts, 206 and 201996, that added together give a palindrome (202202).

The spelling of 206201996 in words is "two hundred six million, two hundred one thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 343 364 539 572 637 686 1001 1051 1078 1274 1372 2002 2102 2156 2548 3773 4004 4204 4459 7007 7357 7546 8918 11561 13663 14014 14714 15092 17836 23122 27326 28028 29428 46244 49049 51499 54652 80927 95641 98098 102998 150293 161854 191282 196196 205996 300586 323708 360493 382564 566489 601172 669487 720986 1052051 1132978 1338974 1441972 2104102 2265956 2677948 3965423 4208204 4686409 7364357 7930846 9372818 14728714 15861692 18745636 29457428 51550499 103100998 206201996