Search a number
-
+
2200223201112 = 2332531050154907
BaseRepresentation
bin100000000001000111100…
…001011011011101011000
321210100011100010022211100
4200001013201123131120
5242022024114413422
64402434003031400
7314650403430126
oct40010741333530
97710140108740
102200223201112
11779122701312
122b650236b560
1312c631ba1cc1
14786c4472916
153c375d407ac
hex2004785b758

2200223201112 has 96 divisors (see below), whose sum is σ = 6072059382480. Its totient is φ = 719488224000.

The previous prime is 2200223201063. The next prime is 2200223201129. The reversal of 2200223201112 is 2111023220022.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 40044363 + ... + 40099269.

Almost surely, 22200223201112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200223201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036029691240).

2200223201112 is an abundant number, since it is smaller than the sum of its proper divisors (3871836181368).

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

2200223201112 is a wasteful number, since it uses less digits than its factorization.

2200223201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65473 (or 65466 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2200223201112 its reverse (2111023220022), we get a palindrome (4311246421134).

The spelling of 2200223201112 in words is "two trillion, two hundred billion, two hundred twenty-three million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 10501 21002 31503 42004 54907 63006 84008 94509 109814 126012 164721 189018 219628 252024 329442 378036 439256 494163 556553 658884 756072 988326 1113106 1317768 1669659 1976652 2226212 2910071 3339318 3953304 4452424 5008977 5820142 6678636 8730213 10017954 11640284 13357272 17460426 20035908 23280568 26190639 34920852 40071816 52381278 69841704 104762556 209525112 576578407 1153156814 1729735221 2306313628 3459470442 4612627256 5189205663 6918940884 10378411326 13837881768 20756822652 30558655571 41513645304 61117311142 91675966713 122234622284 183351933426 244469244568 275027900139 366703866852 550055800278 733407733704 1100111600556 2200223201112