Search a number
-
+
212221222122212 = 22299397194689081
BaseRepresentation
bin110000010000001110011010…
…100011101111001011100100
31000211102011001212011100121122
4300100032122203233023210
5210304013030330402322
62031205030013233112
762462322502334462
oct6020163243571344
91024364055140548
10212221222122212
1161690573323926
121b975a89a92798
1391554b59140a4
143a597c2017832
15198056360a442
hexc1039a8ef2e4

212221222122212 has 24 divisors (see below), whose sum is σ = 384234478453560. Its totient is φ = 102440721358080.

The previous prime is 212221222122211. The next prime is 212221222122229.

212221222122212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 11108662357156 + 201112559765056 = 3332966^2 + 14181416^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212221222122211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96254489 + ... + 98434592.

It is an arithmetic number, because the mean of its divisors is an integer number (16009769935565).

Almost surely, 2212221222122212 is an apocalyptic number.

It is an amenable number.

212221222122212 is a deficient number, since it is larger than the sum of its proper divisors (172013256331348).

212221222122212 is a wasteful number, since it uses less digits than its factorization.

212221222122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194698511 (or 194698509 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The spelling of 212221222122212 in words is "two hundred twelve trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 29 58 116 9397 18794 37588 272513 545026 1090052 194689081 389378162 778756324 5645983349 11291966698 22583933396 1829493294157 3658986588314 7317973176628 53055305530553 106110611061106 212221222122212