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221222022112 = 2571328596803
BaseRepresentation
bin1100111000000111011…
…1000010101111100000
3210011000100021002221101
43032001313002233200
512111030314201422
6245343351404144
721661042106410
oct3160167025740
9704010232841
10221222022112
1185902078553
1236a5a983654
1317b26c2bc00
14a9c87ca640
155b4b62ac27
hex3381dc2be0

221222022112 has 144 divisors (see below), whose sum is σ = 539690014080. Its totient is φ = 87401673216.

The previous prime is 221222022103. The next prime is 221222022149. The reversal of 221222022112 is 211220222122.

It is a self number, because there is not a number n which added to its sum of digits gives 221222022112.

It is a congruent number.

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, 32514903 + ... + 32521705.

It is an arithmetic number, because the mean of its divisors is an integer number (3747847320).

Almost surely, 2221222022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221222022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269845007040).

221222022112 is an abundant number, since it is smaller than the sum of its proper divisors (318467991968).

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

221222022112 is a wasteful number, since it uses less digits than its factorization.

221222022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7705 (or 7684 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 221222022112 its reverse (211220222122), we get a palindrome (432442244234).

The spelling of 221222022112 in words is "two hundred twenty-one billion, two hundred twenty-two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 338 364 416 676 728 859 1183 1352 1456 1718 2366 2704 2912 3436 4732 5408 6013 6803 6872 9464 11167 12026 13606 13744 18928 22334 24052 27212 27488 37856 44668 47621 48104 54424 78169 88439 89336 95242 96208 108848 145171 156338 176878 178672 190484 192416 217696 290342 312676 353756 357344 380968 580684 619073 625352 707512 761936 1016197 1149707 1161368 1238146 1250704 1415024 1523872 2032394 2299414 2322736 2476292 2501408 2830048 4064788 4598828 4645472 4952584 5843777 8047949 8129576 9197656 9905168 11687554 16095898 16259152 18395312 19810336 23375108 32191796 32518304 36790624 40906439 46750216 64383592 75969101 81812878 93500432 128767184 151938202 163625756 187000864 257534368 303876404 327251512 531783707 607752808 654503024 987598313 1063567414 1215505616 1309006048 1975196626 2127134828 2431011232 3950393252 4254269656 6913188191 7900786504 8508539312 13826376382 15801573008 17017078624 27652752764 31603146016 55305505528 110611011056 221222022112