Search a number
-
+
10022434422 = 237211131737379
BaseRepresentation
bin10010101010110001…
…00011011001110110
3221212110222102100220
421111120203121312
5131011220400142
64334303315210
7503236200300
oct112530433166
927773872326
1010022434422
114283448360
121b385abb06
13c39543990
146b1122970
153d9d402ec
hex255623676

10022434422 has 384 divisors, whose sum is σ = 29867927040. Its totient is φ = 2194698240.

The previous prime is 10022434421. The next prime is 10022434441. The reversal of 10022434422 is 22443422001.

10022434422 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 = 10022434392 and 10022434401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022434421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26444229 + ... + 26444607.

It is an arithmetic number, because the mean of its divisors is an integer number (77781060).

Almost surely, 210022434422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022434422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14933963520).

10022434422 is an abundant number, since it is smaller than the sum of its proper divisors (19845492618).

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

10022434422 is a wasteful number, since it uses less digits than its factorization.

10022434422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10022434422 its reverse (22443422001), we get a palindrome (32465856423).

It can be divided in two parts, 10022 and 434422, that added together give a palindrome (444444).

The spelling of 10022434422 in words is "ten billion, twenty-two million, four hundred thirty-four thousand, four hundred twenty-two".