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222121200000200 = 2352349215235987
BaseRepresentation
bin110010100000010010011111…
…001110010001110011001000
31002010110120122100010100111112
4302200102133032101303020
5213103213204200001300
62104225023125145452
764533504255005654
oct6240223716216310
91063416570110445
10222121200000200
1164858087792196
1220ab46b055b288
1396c2c297b5917
143cbca1b1a7a64
151aa2d373e3e35
hexca049f391cc8

222121200000200 has 144 divisors (see below), whose sum is σ = 518342403628080. Its totient is φ = 88520941182720.

The previous prime is 222121200000199. The next prime is 222121200000211. The reversal of 222121200000200 is 2000002121222.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37100581607 + ... + 37100587593.

It is an arithmetic number, because the mean of its divisors is an integer number (3599600025195).

Almost surely, 2222121200000200 is an apocalyptic number.

222121200000200 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 222121200000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259171201814040).

222121200000200 is an abundant number, since it is smaller than the sum of its proper divisors (296221203627880).

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

222121200000200 is a wasteful number, since it uses less digits than its factorization.

222121200000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8224 (or 7866 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 222121200000200 its reverse (2000002121222), we get a palindrome (224121202121422).

The spelling of 222121200000200 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 349 698 1396 1523 1745 2792 3046 3490 5987 6092 6980 7615 8725 11974 12184 13960 15230 17450 23948 29935 30460 34900 38075 47896 59870 60920 69800 76150 119740 121801 149675 152300 239480 243602 299350 304600 487204 531527 598700 609005 974408 1063054 1197400 1218010 2089463 2126108 2436020 2657635 3045025 4178926 4252216 4872040 5315270 6090050 8357852 9118201 10447315 10630540 12180100 13288175 16715704 18236402 20894630 21261080 24360200 26576350 36472804 41789260 45591005 52236575 53152700 72945608 83578520 91182010 104473150 106305400 182364020 185502923 208946300 227955025 364728040 371005846 417892600 455910050 729222587 742011692 911820100 927514615 1458445174 1484023384 1823640200 1855029230 2916890348 3182252149 3646112935 3710058460 4637573075 5833780696 6364504298 7292225870 7420116920 9275146150 12729008596 14584451740 15911260745 18230564675 18550292300 25458017192 29168903480 31822521490 36461129350 37100584600 63645042980 72922258700 79556303725 127290085960 145844517400 159112607450 318225214900 636450429800 1110606000001 2221212000002 4442424000004 5553030000005 8884848000008 11106060000010 22212120000020 27765150000025 44424240000040 55530300000050 111060600000100 222121200000200