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22221102220 = 22517349401467
BaseRepresentation
bin10100101100011110…
…110001110010001100
32010100121220221200221
4110230132301302030
5331002100232340
614112551201124
71414442152402
oct245436616214
963317827627
1022221102220
119473261a99
1243819761a4
1321318b72c5
14110b297472
158a0c5544a
hex52c7b1c8c

22221102220 has 96 divisors (see below), whose sum is σ = 49780785600. Its totient is φ = 8303001600.

The previous prime is 22221102191. The next prime is 22221102259. The reversal of 22221102220 is 2220112222.

It is a junction number, because it is equal to n+sod(n) for n = 22221102194 and 22221102203.

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 31 ways as a sum of consecutive naturals, for example, 47582427 + ... + 47582893.

It is an arithmetic number, because the mean of its divisors is an integer number (518549850).

Almost surely, 222221102220 is an apocalyptic number.

22221102220 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 22221102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24890392800).

22221102220 is an abundant number, since it is smaller than the sum of its proper divisors (27559683380).

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

22221102220 is a wasteful number, since it uses less digits than its factorization.

22221102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22221102220 its reverse (2220112222), we get a palindrome (24441214442).

The spelling of 22221102220 in words is "twenty-two billion, two hundred twenty-one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 349 401 467 698 802 934 1396 1604 1745 1868 2005 2335 3490 4010 4670 5933 6817 6980 7939 8020 9340 11866 13634 15878 23732 27268 29665 31756 34085 39695 59330 68170 79390 118660 136340 139949 158780 162983 187267 279898 325966 374534 559796 651932 699745 749068 814915 936335 1399490 1629830 1872670 2379133 2770711 2798980 3183539 3259660 3745340 4758266 5541422 6367078 9516532 11082844 11895665 12734156 13853555 15917695 23791330 27707110 31835390 47582660 55414220 63670780 65356183 130712366 261424732 326780915 653561830 1111055111 1307123660 2222110222 4444220444 5555275555 11110551110 22221102220