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2200221122220 = 22325113373297397
BaseRepresentation
bin100000000001000111011…
…001011111111010101100
321210100011012012201010100
4200001013121133322230
5242022023101402340
64402433450311100
7314650346651202
oct40010731377254
97710135181110
102200221122220
11779121511420
122b6501728490
1312c6316249a4
14786c4091072
153c375a7e830
hex2004765feac

2200221122220 has 144 divisors (see below), whose sum is σ = 7302338473248. Its totient is φ = 531804026880.

The previous prime is 2200221122189. The next prime is 2200221122221. The reversal of 2200221122220 is 222211220022.

2200221122220 is a `hidden beast` number, since 2 + 200 + 221 + 1 + 22 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2200221122193 and 2200221122202.

It is not an unprimeable number, because it can be changed into a prime (2200221122221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981439 + ... + 2315958.

It is an arithmetic number, because the mean of its divisors is an integer number (50710683842).

Almost surely, 22200221122220 is an apocalyptic number.

2200221122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200221122220 is an abundant number, since it is smaller than the sum of its proper divisors (5102117351028).

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

2200221122220 is a wasteful number, since it uses less digits than its factorization.

2200221122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297760 (or 3297755 counting only the distinct ones).

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

Adding to 2200221122220 its reverse (222211220022), we get a palindrome (2422432342242).

The spelling of 2200221122220 in words is "two trillion, two hundred billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 337 396 495 660 674 990 1011 1348 1685 1980 2022 3033 3370 3707 4044 5055 6066 6740 7414 10110 11121 12132 14828 15165 18535 20220 22242 30330 33363 37070 44484 55605 60660 66726 74140 111210 133452 166815 222420 333630 667260 3297397 6594794 9892191 13189588 16486985 19784382 29676573 32973970 36271367 39568764 49460955 59353146 65947940 72542734 98921910 108814101 118706292 145085468 148382865 181356835 197843820 217628202 296765730 326442303 362713670 435256404 544070505 593531460 652884606 725427340 1088141010 1111222789 1305769212 1632211515 2176282020 2222445578 3264423030 3333668367 4444891156 5556113945 6528846060 6667336734 10001005101 11112227890 12223450679 13334673468 16668341835 20002010202 22224455780 24446901358 33336683670 36670352037 40004020404 48893802716 50005025505 61117253395 66673367340 73340704074 100010051010 110011056111 122234506790 146681408148 183351760185 200020102020 220022112222 244469013580 366703520370 440044224444 550055280555 733407040740 1100110561110 2200221122220