Search a number
-
+
220300133222 = 213172292334339
BaseRepresentation
bin1100110100101011101…
…0010100001101100110
3210001122002120022010102
43031022322110031212
512102133313230342
6245112100224102
721626146143611
oct3151272241546
9701562508112
10220300133222
1185479755804
123684209b032
1317a0ac40420
14a93c1b3178
155ae5728832
hex334ae94366

220300133222 has 96 divisors (see below), whose sum is σ = 392838919200. Its totient is φ = 91978371072.

The previous prime is 220300133201. The next prime is 220300133257. The reversal of 220300133222 is 222331003022.

220300133222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220300133194 and 220300133203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50769929 + ... + 50774267.

It is an arithmetic number, because the mean of its divisors is an integer number (4092072075).

Almost surely, 2220300133222 is an apocalyptic number.

220300133222 is a deficient number, since it is larger than the sum of its proper divisors (172538785978).

220300133222 is a wasteful number, since it uses less digits than its factorization.

220300133222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 220300133222 its reverse (222331003022), we get a palindrome (442631136244).

The spelling of 220300133222 in words is "two hundred twenty billion, three hundred million, one hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 13 17 26 29 34 58 221 233 289 377 442 466 493 578 754 986 3029 3757 3961 4339 6058 6409 6757 7514 7922 8381 8678 12818 13514 16762 51493 56407 67337 73763 87841 102986 108953 112814 114869 125831 134674 147526 175682 217906 229738 251662 875381 958919 1010987 1253971 1493297 1635803 1750762 1917838 1952773 2021974 2139127 2507942 2986594 3271606 3905546 4278254 13142831 16301623 17186779 25386049 26285662 27808651 29318623 32603246 34373558 36365159 50772098 55617302 58637246 72730318 223428127 292175243 381142099 446856254 472747067 498416591 584350486 762284198 945494134 996833182 3798278159 6479415683 7596556318 8473082047 12958831366 16946164094 110150066611 220300133222