Search a number
-
+
222220211201120 = 25511307411275191
BaseRepresentation
bin110010100001101110101100…
…110000000010010001100000
31002010211001012121011111102002
4302201232230300002101200
5213111323443031413440
62104342320010543132
764543610664224216
oct6241565460022140
91063731177144362
10222220211201120
1164896075a54970
1220b0b923137aa8
1396cc3784aa542
143cc3730b94cb6
151aa56ce911115
hexca1bacc02460

222220211201120 has 96 divisors (see below), whose sum is σ = 574587635440896. Its totient is φ = 80544133209600.

The previous prime is 222220211201099. The next prime is 222220211201167. The reversal of 222220211201120 is 21102112022222.

It is a super-4 number, since 4×2222202112011204 (a number of 58 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 222220211201092 and 222220211201101.

It is a congruent number.

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, 205097276 + ... + 206177915.

It is an arithmetic number, because the mean of its divisors is an integer number (5985287869176).

Almost surely, 2222220211201120 is an apocalyptic number.

222220211201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222220211201120 is an abundant number, since it is smaller than the sum of its proper divisors (352367424239776).

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

222220211201120 is a wasteful number, since it uses less digits than its factorization.

222220211201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411275524 (or 411275516 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 222220211201120 its reverse (21102112022222), we get a palindrome (243322323223342).

The spelling of 222220211201120 in words is "two hundred twenty-two trillion, two hundred twenty billion, two hundred eleven million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 307 352 440 614 880 1228 1535 1760 2456 3070 3377 4912 6140 6754 9824 12280 13508 16885 24560 27016 33770 49120 54032 67540 108064 135080 270160 540320 411275191 822550382 1645100764 2056375955 3290201528 4112751910 4524027101 6580403056 8225503820 9048054202 13160806112 16451007640 18096108404 22620135505 32902015280 36192216808 45240271010 65804030560 72384433616 90480542020 126261483637 144768867232 180961084040 252522967274 361922168080 505045934548 631307418185 723844336160 1010091869096 1262614836370 1388876320007 2020183738192 2525229672740 2777752640014 4040367476384 5050459345480 5555505280028 6944381600035 10100918690960 11111010560056 13888763200070 20201837381920 22222021120112 27777526400140 44444042240224 55555052800280 111110105600560 222220211201120