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22122012220 = 22571127751859
BaseRepresentation
bin10100100110100100…
…110001111000111100
32010002201110122202221
4110212210301320330
5330301213342340
614055051255124
71412130000310
oct244644617074
963081418687
1022122012220
119422332230
12435474a4a4
132117201a79
1410dc061b40
158971d044a
hex526931e3c

22122012220 has 96 divisors (see below), whose sum is σ = 58129666560. Its totient is φ = 6870147840.

The previous prime is 22122012173. The next prime is 22122012281. The reversal of 22122012220 is 2221022122.

It is a junction number, because it is equal to n+sod(n) for n = 22122012194 and 22122012203.

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 31 ways as a sum of consecutive naturals, for example, 400651 + ... + 452509.

It is an arithmetic number, because the mean of its divisors is an integer number (605517360).

Almost surely, 222122012220 is an apocalyptic number.

22122012220 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 22122012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29064833280).

22122012220 is an abundant number, since it is smaller than the sum of its proper divisors (36007654340).

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

22122012220 is a wasteful number, since it uses less digits than its factorization.

22122012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52163 (or 52161 counting only the distinct ones).

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

Adding to 22122012220 its reverse (2221022122), we get a palindrome (24343034342).

The spelling of 22122012220 in words is "twenty-two billion, one hundred twenty-two million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 277 308 385 554 770 1108 1385 1540 1939 2770 3047 3878 5540 6094 7756 9695 12188 15235 19390 21329 30470 38780 42658 51859 60940 85316 103718 106645 207436 213290 259295 363013 426580 518590 570449 726026 1037180 1140898 1452052 1815065 2281796 2852245 3630130 3993143 5704490 7260260 7986286 11408980 14364943 15972572 19965715 28729886 39931430 57459772 71824715 79862860 100554601 143649430 158014373 201109202 287298860 316028746 402218404 502773005 632057492 790071865 1005546010 1106100611 1580143730 2011092020 2212201222 3160287460 4424402444 5530503055 11061006110 22122012220