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22001000222112 = 2531038292683981
BaseRepresentation
bin1010000000010100000011…
…10011011000110110100000
32212220021102112101220102020
411000022001303120312200
510340431022024101422
6114443041525221440
74430343203204262
oct500120163306640
985807375356366
1022001000222112
11701263207356a
122573b36561880
13c378bab323c2
14560bd58b5b32
1528246aa8a95c
hex140281cd8da0

22001000222112 has 96 divisors (see below), whose sum is σ = 58383694212480. Its totient is φ = 7253702876160.

The previous prime is 22001000222099. The next prime is 22001000222137. The reversal of 22001000222112 is 21122200010022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×220010002221123 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22001000222091 and 22001000222100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6855162 + ... + 9539142.

It is an arithmetic number, because the mean of its divisors is an integer number (608163481380).

Almost surely, 222001000222112 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 22001000222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29191847106240).

22001000222112 is an abundant number, since it is smaller than the sum of its proper divisors (36382693990368).

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

22001000222112 is a wasteful number, since it uses less digits than its factorization.

22001000222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684926 (or 2684918 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22001000222112 its reverse (21122200010022), we get a palindrome (43123200232134).

The spelling of 22001000222112 in words is "twenty-two trillion, one billion, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 829 1236 1648 1658 2472 2487 3296 3316 4944 4974 6632 9888 9948 13264 19896 26528 39792 79584 85387 170774 256161 341548 512322 683096 1024644 1366192 2049288 2683981 2732384 4098576 5367962 8051943 8197152 10735924 16103886 21471848 32207772 42943696 64415544 85887392 128831088 257662176 276450043 552900086 829350129 1105800172 1658700258 2211600344 2225020249 3317400516 4423200688 4450040498 6634801032 6675060747 8846401376 8900080996 13269602064 13350121494 17800161992 26539204128 26700242988 35600323984 53400485976 71200647968 106800971952 213601943904 229177085647 458354171294 687531256941 916708342588 1375062513882 1833416685176 2750125027764 3666833370352 5500250055528 7333666740704 11000500111056 22001000222112