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22022221200200 = 2352138470085077
BaseRepresentation
bin1010000000111011100101…
…01010111111101101001000
32212222022012110102021201122
411000131302222333231020
510341303002111401300
6114500511352334412
74432024112431124
oct500356252775510
985868173367648
1022022221200200
117020631827491
1225780793a4408
13c398c0467b80
14561c49dcc584
15282cadad7c85
hex140772abfb48

22022221200200 has 48 divisors (see below), whose sum is σ = 55140253857780. Its totient is φ = 8131281672960.

The previous prime is 22022221200197. The next prime is 22022221200253. The reversal of 22022221200200 is 200212222022.

It can be written as a sum of positive squares in 6 ways, for example, as 10200575619556 + 11821645580644 = 3193834^2 + 3438262^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4235039939 + ... + 4235045138.

Almost surely, 222022221200200 is an apocalyptic number.

22022221200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022221200200 is an abundant number, since it is smaller than the sum of its proper divisors (33118032657580).

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

22022221200200 is a wasteful number, since it uses less digits than its factorization.

22022221200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8470085106 (or 8470085097 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 22022221200200 its reverse (200212222022), we get a palindrome (22222433422222).

The spelling of 22022221200200 in words is "twenty-two trillion, twenty-two billion, two hundred twenty-one million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 8470085077 16940170154 33880340308 42350425385 67760680616 84700850770 110111106001 169401701540 211752126925 220222212002 338803403080 423504253850 440444424004 550555530005 847008507700 880888848008 1101111060010 1694017015400 2202222120020 2752777650025 4404444240040 5505555300050 11011110600100 22022221200200