Search a number
-
+
4226642244 = 22321110673339
BaseRepresentation
bin1111101111101101…
…0111000101000100
3101220120011200011100
43323323113011010
532124010022434
61535223340100
7206511603066
oct37373270504
911816150140
104226642244
111879913970
1299b5b1630
13524876556
142c14ad736
1519b0e3699
hexfbed7144

4226642244 has 36 divisors (see below), whose sum is σ = 11655287280. Its totient is φ = 1280800560.

The previous prime is 4226642227. The next prime is 4226642263. The reversal of 4226642244 is 4422466224.

4226642244 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 642 + 2 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 4226642199 and 4226642208.

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 11 ways as a sum of consecutive naturals, for example, 5336274 + ... + 5337065.

It is an arithmetic number, because the mean of its divisors is an integer number (323757980).

Almost surely, 24226642244 is an apocalyptic number.

4226642244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4226642244 is an abundant number, since it is smaller than the sum of its proper divisors (7428645036).

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

4226642244 is a wasteful number, since it uses less digits than its factorization.

4226642244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10673360 (or 10673355 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 4226642244 is about 65012.6314188251. The cubic root of 4226642244 is about 1616.8329942498.

The spelling of 4226642244 in words is "four billion, two hundred twenty-six million, six hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 10673339 21346678 32020017 42693356 64040034 96060051 117406729 128080068 192120102 234813458 352220187 384240204 469626916 704440374 1056660561 1408880748 2113321122 4226642244