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22202222112 = 2532717363659
BaseRepresentation
bin10100101011010110…
…110000011000100000
32010022022101202001200
4110223112300120200
5330432232101422
614111034401200
71414122526350
oct245326603040
963268352050
1022202222112
1194636370a4
124377590200
13212aa06845
141108980b60
1589e2762ac
hex52b5b0620

22202222112 has 144 divisors (see below), whose sum is σ = 72575455680. Its totient is φ = 6306725376.

The previous prime is 22202222111. The next prime is 22202222129. The reversal of 22202222112 is 21122220222.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22202222111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316939 + ... + 380597.

It is an arithmetic number, because the mean of its divisors is an integer number (503996220).

Almost surely, 222202222112 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 22202222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36287727840).

22202222112 is an abundant number, since it is smaller than the sum of its proper divisors (50373233568).

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

22202222112 is a wasteful number, since it uses less digits than its factorization.

22202222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63855 (or 63844 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22202222112 its reverse (21122220222), we get a palindrome (43324442334).

The spelling of 22202222112 in words is "twenty-two billion, two hundred two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 173 224 252 288 336 346 504 519 672 692 1008 1038 1211 1384 1557 2016 2076 2422 2768 3114 3633 4152 4844 5536 6228 7266 8304 9688 10899 12456 14532 16608 19376 21798 24912 29064 38752 43596 49824 58128 63659 87192 116256 127318 174384 190977 254636 348768 381954 445613 509272 572931 763908 891226 1018544 1145862 1336839 1527816 1782452 2037088 2291724 2673678 3055632 3564904 4010517 4583448 5347356 6111264 7129808 8021034 9166896 10694712 11013007 14259616 16042068 18333792 21389424 22026014 32084136 33039021 42778848 44052028 64168272 66078042 77091049 88104056 99117063 128336544 132156084 154182098 176208112 198234126 231273147 264312168 308364196 352416224 396468252 462546294 528624336 616728392 693819441 792936504 925092588 1057248672 1233456784 1387638882 1585873008 1850185176 2466913568 2775277764 3171746016 3700370352 5550555528 7400740704 11101111056 22202222112