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222133022011120 = 245111168332160553
BaseRepresentation
bin110010100000011101011111…
…110111101010111011110000
31002010111201011020022201201211
4302200131133313222323300
5213103411412113323440
62104234300200005504
764534403235311053
oct6240353767527360
91063451136281654
10222133022011120
11648620a3a24a50
1220ab6a4b760894
1396c4091acb95c
143cbd41d2d2a9a
151aa32ca206eea
hexca075fdeaef0

222133022011120 has 80 divisors (see below), whose sum is σ = 563415202592352. Its totient is φ = 80774915604480.

The previous prime is 222133022011111. The next prime is 222133022011123. The reversal of 222133022011120 is 21110220331222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 222133022011091 and 222133022011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222133022011123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101732764 + ... + 103893316.

Almost surely, 2222133022011120 is an apocalyptic number.

222133022011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222133022011120 is an abundant number, since it is smaller than the sum of its proper divisors (341282180581232).

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

222133022011120 is a wasteful number, since it uses less digits than its factorization.

222133022011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277410 (or 2277404 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 222133022011120 its reverse (21110220331222), we get a palindrome (243243242342342).

The spelling of 222133022011120 in words is "two hundred twenty-two trillion, one hundred thirty-three billion, twenty-two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 116833 233666 467332 584165 934664 1168330 1285163 1869328 2160553 2336660 2570326 4321106 4673320 5140652 6425815 8642212 9346640 10281304 10802765 12851630 17284424 20562608 21605530 23766083 25703260 34568848 43211060 47532166 51406520 86422120 95064332 102813040 118830415 172844240 190128664 237660830 380257328 475321660 950643320 1901286640 252423888649 504847777298 1009695554596 1262119443245 2019391109192 2524238886490 2776662775139 4038782218384 5048477772980 5553325550278 10096955545960 11106651100556 13883313875695 20193911091920 22213302201112 27766627751390 44426604402224 55533255502780 111066511005560 222133022011120