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222220130013200 = 245211296317045081
BaseRepresentation
bin110010100001101110100111…
…111010010101000000010000
31002010211000222221101201112002
4302201232213322111000100
5213111323311240410300
62104342303550453132
764543605660152564
oct6241564772250020
91063730887351462
10222220130013200
1164896034142210
1220b0b8bbb041a8
1396cc364722557
143cc372409d6a4
151aa56c77255d5
hexca1ba7e95010

222220130013200 has 120 divisors (see below), whose sum is σ = 582615356989536. Its totient is φ = 80780043136000.

The previous prime is 222220130013197. The next prime is 222220130013283. The reversal of 222220130013200 is 2310031022222.

It is a happy number.

It is a super-2 number, since 2×2222201300132002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4514660 + ... + 21559740.

Almost surely, 2222220130013200 is an apocalyptic number.

222220130013200 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 222220130013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291307678494768).

222220130013200 is an abundant number, since it is smaller than the sum of its proper divisors (360395226976336).

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

222220130013200 is a wasteful number, since it uses less digits than its factorization.

222220130013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17048073 (or 17048062 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 222220130013200 its reverse (2310031022222), we get a palindrome (224530161035422).

The spelling of 222220130013200 in words is "two hundred twenty-two trillion, two hundred twenty billion, one hundred thirty million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 2963 4400 5926 11852 14815 23704 29630 32593 47408 59260 65186 74075 118520 130372 148150 162965 237040 260744 296300 325930 521488 592600 651860 814825 1185200 1303720 1629650 2607440 3259300 6518600 13037200 17045081 34090162 68180324 85225405 136360648 170450810 187495891 272721296 340901620 374991782 426127025 681803240 749983564 852254050 937479455 1363606480 1499967128 1704508100 1874958910 2999934256 3409016200 3749917820 4687397275 6818032400 7499835640 9374794550 14999671280 18749589100 37499178200 50504575003 74998356400 101009150006 202018300012 252522875015 404036600024 505045750030 555550325033 808073200048 1010091500060 1111100650066 1262614375075 2020183000120 2222201300132 2525228750150 2777751625165 4040366000240 4444402600264 5050457500300 5555503250330 8888805200528 10100915000600 11111006500660 13888758125825 20201830001200 22222013001320 27777516251650 44444026002640 55555032503300 111110065006600 222220130013200