Search a number
-
+
200212012 = 2271113311613
BaseRepresentation
bin10111110111011…
…11111000101100
3111221201211020201
423323233320230
5402223241022
631511123244
74650526330
oct1373577054
9457654221
10200212012
11a3018280
1257073524
133262c960
141c8397c0
151289c127
hexbeefe2c

200212012 has 96 divisors (see below), whose sum is σ = 485904384. Its totient is φ = 69638400.

The previous prime is 200212003. The next prime is 200212039. The reversal of 200212012 is 210212002.

It is a self number, because there is not a number n which added to its sum of digits gives 200212012.

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, 123318 + ... + 124930.

It is an arithmetic number, because the mean of its divisors is an integer number (5061504).

Almost surely, 2200212012 is an apocalyptic number.

200212012 is a gapful number since it is divisible by the number (22) 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 200212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242952192).

200212012 is an abundant number, since it is smaller than the sum of its proper divisors (285692372).

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

200212012 is a wasteful number, since it uses less digits than its factorization.

200212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 200212012 is about 14149.6293944400. The cubic root of 200212012 is about 585.0101169507.

Subtracting from 200212012 its sum of digits (10), we obtain a palindrome (200212002).

Adding to 200212012 its reverse (210212002), we get a palindrome (410424014).

It can be divided in two parts, 200 and 212012, that added together give a palindrome (212212).

The spelling of 200212012 in words is "two hundred million, two hundred twelve thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 31 44 52 62 77 91 124 143 154 182 217 286 308 341 364 403 434 572 682 806 868 1001 1364 1612 1613 2002 2387 2821 3226 4004 4433 4774 5642 6452 8866 9548 11284 11291 17732 17743 20969 22582 31031 35486 41938 45164 50003 62062 70972 83876 100006 124124 124201 146783 200012 230659 248402 293566 350021 461318 496804 550033 587132 650039 700042 922636 1100066 1300078 1400084 1614613 2200132 2600156 3229226 3850231 4550273 6458452 7150429 7700462 9100546 14300858 15400924 18201092 28601716 50053003 100106006 200212012