Search a number
-
+
220444422 = 231119367479
BaseRepresentation
bin11010010001110…
…11011100000110
3120100210201220020
431020323130012
5422413210142
633512520010
75314514052
oct1510733406
9510721806
10220444422
11103487180
12619b0006
1336894ab3
14213c4c62
1514546cec
hexd23b706

220444422 has 64 divisors (see below), whose sum is σ = 508723200. Its totient is φ = 62981280.

The previous prime is 220444417. The next prime is 220444453. The reversal of 220444422 is 224444022.

220444422 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 = 220444392 and 220444401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459979 + ... + 460457.

It is an arithmetic number, because the mean of its divisors is an integer number (7948800).

Almost surely, 2220444422 is an apocalyptic number.

220444422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220444422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254361600).

220444422 is an abundant number, since it is smaller than the sum of its proper divisors (288278778).

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

220444422 is a wasteful number, since it uses less digits than its factorization.

220444422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881.

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 220444422 is about 14847.3708783744. The cubic root of 220444422 is about 604.0872989762.

Adding to 220444422 its reverse (224444022), we get a palindrome (444888444).

The spelling of 220444422 in words is "two hundred twenty million, four hundred forty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 367 418 479 627 734 958 1101 1254 1437 2202 2874 4037 5269 6973 8074 9101 10538 12111 13946 15807 18202 20919 24222 27303 31614 41838 54606 76703 100111 153406 175793 200222 230109 300333 351586 460218 527379 600666 1054758 1933723 3340067 3867446 5801169 6680134 10020201 11602338 20040402 36740737 73481474 110222211 220444422