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222141034320200 = 23527323096589493
BaseRepresentation
bin110010100000100100111101…
…011100001101000101001000
31002010112110211121220012111222
4302200210331130031011020
5213104024314241221300
62104242103215341212
764535105625645542
oct6240447534150510
91063473747805458
10222141034320200
116486553573a396
1220ab8506b21808
1396c4a6aa61648
143cbd97d482692
151aa35e8834785
hexca093d70d148

222141034320200 has 96 divisors (see below), whose sum is σ = 523779768527400. Its totient is φ = 87601233807360.

The previous prime is 222141034320199. The next prime is 222141034320221. The reversal of 222141034320200 is 2023430141222.

It can be written as a sum of positive squares in 12 ways, for example, as 127517439539044 + 94623594781156 = 11292362^2 + 9727466^2 .

It is a super-2 number, since 2×2221410343202002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222141034320200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30416654 + ... + 37006146.

Almost surely, 2222141034320200 is an apocalyptic number.

222141034320200 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 222141034320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261889884263700).

222141034320200 is an abundant number, since it is smaller than the sum of its proper divisors (301638734207200).

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

222141034320200 is a wasteful number, since it uses less digits than its factorization.

222141034320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6591891 (or 6591882 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 222141034320200 its reverse (2023430141222), we get a palindrome (224164464461422).

The spelling of 222141034320200 in words is "two hundred twenty-two trillion, one hundred forty-one billion, thirty-four million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2309 2920 3650 4618 7300 9236 11545 14600 18472 23090 46180 57725 92360 115450 168557 230900 337114 461800 674228 842785 1348456 1685570 3371140 4213925 6589493 6742280 8427850 13178986 16855700 26357972 32947465 33711400 52715944 65894930 131789860 164737325 263579720 329474650 481032989 658949300 962065978 1317898600 1924131956 2405164945 3848263912 4810329890 9620659780 12025824725 15215139337 19241319560 24051649450 30430278674 48103298900 60860557348 76075696685 96206597800 121721114696 152151393370 304302786740 380378483425 608605573480 760756966850 1110705171601 1521513933700 2221410343202 3043027867400 4442820686404 5553525858005 8885641372808 11107051716010 22214103432020 27767629290025 44428206864040 55535258580050 111070517160100 222141034320200