Search a number
-
+
200210212122220 = 225194139073289087
BaseRepresentation
bin101101100001011100010010…
…100100101110111001101100
3222020212220112220211022011201
4231201130102210232321230
5202220221003300402340
61545451145100455244
760112465461006556
oct5541342244567154
9866786486738151
10200210212122220
115887a746301083
121a5560b6b4a524
138793985208311
1437623240c44d6
151822dd8d2279a
hexb6171292ee6c

200210212122220 has 96 divisors (see below), whose sum is σ = 453480508293120. Its totient is φ = 73999698716160.

The previous prime is 200210212122079. The next prime is 200210212122227. The reversal of 200210212122220 is 22221212012002.

200210212122220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (200210212122227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59226517 + ... + 62515603.

It is an arithmetic number, because the mean of its divisors is an integer number (4723755294720).

Almost surely, 2200210212122220 is an apocalyptic number.

200210212122220 is a gapful number since it is divisible by the number (20) 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 200210212122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226740254146560).

200210212122220 is an abundant number, since it is smaller than the sum of its proper divisors (253270296170900).

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

200210212122220 is a wasteful number, since it uses less digits than its factorization.

200210212122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293063 (or 3293061 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 200210212122220 its reverse (22221212012002), we get a palindrome (222431424134222).

The spelling of 200210212122220 in words is "two hundred trillion, two hundred ten billion, two hundred twelve million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 779 820 1558 3116 3895 3907 7790 7814 15580 15628 19535 39070 74233 78140 148466 160187 296932 320374 371165 640748 742330 800935 1484660 1601870 3043553 3203740 3289087 6087106 6578174 12174212 13156348 15217765 16445435 30435530 32890870 60871060 62492653 65781740 124985306 134852567 249970612 269705134 312463265 539410268 624926530 674262835 1249853060 1348525670 2562198773 2697051340 5124397546 10248795092 12810993865 12850462909 25621987730 25700925818 51243975460 51401851636 64252314545 128504629090 244158795271 257009258180 488317590542 526868979269 976635181084 1053737958538 1220793976355 2107475917076 2441587952710 2634344896345 4883175905420 5268689792690 10010510606111 10537379585380 20021021212222 40042042424444 50052553030555 100105106061110 200210212122220