Search a number
-
+
222140010241044 = 223272235475204827
BaseRepresentation
bin110010100000100100000000…
…011001101001110000010100
31002010112101012020220121000100
4302200210000121221300110
5213104020220110203134
62104241413434014100
764535041352266200
oct6240440031516024
91063471166817010
10222140010241044
116486505a66a585
1220ab827bb77330
1396c493684344c
143cbd8c3467b00
151aa3588998999
hexca0900669c14

222140010241044 has 108 divisors (see below), whose sum is σ = 681597298628064. Its totient is φ = 60709071110688.

The previous prime is 222140010241043. The next prime is 222140010241057. The reversal of 222140010241044 is 440142010041222.

222140010241044 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 400 + 10 + 241 + 0 + 4 + 4 = 666.

It is a super-2 number, since 2×2221400102410442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222140010240999 and 222140010241017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222140010241043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2737561842 + ... + 2737642985.

It is an arithmetic number, because the mean of its divisors is an integer number (6311086098408).

Almost surely, 2222140010241044 is an apocalyptic number.

It is an amenable number.

222140010241044 is an abundant number, since it is smaller than the sum of its proper divisors (459457288387020).

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

222140010241044 is a wasteful number, since it uses less digits than its factorization.

222140010241044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5475204874 (or 5475204862 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 222140010241044 its reverse (440142010041222), we get a palindrome (662282020282266).

The spelling of 222140010241044 in words is "two hundred twenty-two trillion, one hundred forty billion, ten million, two hundred forty-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 138 147 161 196 207 252 276 294 322 414 441 483 588 644 828 882 966 1127 1449 1764 1932 2254 2898 3381 4508 5796 6762 10143 13524 20286 40572 5475204827 10950409654 16425614481 21900819308 32851228962 38326433789 49276843443 65702457924 76652867578 98553686886 114979301367 125929711021 153305735156 197107373772 229958602734 251859422042 268285036523 344937904101 377789133063 459917205468 503718844084 536570073046 689875808202 755578266126 804855109569 881507977147 1073140146092 1133367399189 1379751616404 1511156532252 1609710219138 1763015954294 2266734798378 2414565328707 2644523931441 3219420438276 3526031908588 4533469596756 4829130657414 5289047862882 6170555840029 7933571794323 9658261314828 10578095725764 12341111680058 15867143588646 18511667520087 24682223360116 31734287177292 37023335040174 55535002560261 74046670080348 111070005120522 222140010241044