Search a number
-
+
2216006122 = 211619916249
BaseRepresentation
bin1000010000010101…
…1001000111101010
312201102210202220211
42010011121013222
514014244143442
61003520411334
7105625512151
oct20405310752
95642722824
102216006122
11a37972220
1251a176b4a
13294146c35
14170446598
15ce82e617
hex841591ea

2216006122 has 16 divisors (see below), whose sum is σ = 3627000000. Its totient is φ = 1007051040.

The previous prime is 2216006041. The next prime is 2216006123.

2216006122 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2216006093 and 2216006102.

It is not an unprimeable number, because it can be changed into a prime (2216006123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128254 + ... + 144502.

It is an arithmetic number, because the mean of its divisors is an integer number (226687500).

Almost surely, 22216006122 is an apocalyptic number.

2216006122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2216006122 is a deficient number, since it is larger than the sum of its proper divisors (1410993878).

2216006122 is a wasteful number, since it uses less digits than its factorization.

2216006122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22461.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2216006122 is about 47074.4742084285. The cubic root of 2216006122 is about 1303.7379836168.

It can be divided in two parts, 221600 and 6122, that added together give a palindrome (227722).

The spelling of 2216006122 in words is "two billion, two hundred sixteen million, six thousand, one hundred twenty-two".

Divisors: 1 2 11 22 6199 12398 16249 32498 68189 136378 178739 357478 100727551 201455102 1108003061 2216006122