Search a number
-
+
422011424 = 25591072089
BaseRepresentation
bin11001001001110…
…110001000100000
31002102002101211202
4121021312020200
51331013331144
6105513100332
713313016002
oct3111661040
91072071752
10422011424
111a723a47a
12b93b76a8
136957a403
1440094372
15270b064e
hex19276220

422011424 has 48 divisors (see below), whose sum is σ = 853221600. Its totient is φ = 205392384.

The previous prime is 422011423. The next prime is 422011427. The reversal of 422011424 is 424110224.

It is a junction number, because it is equal to n+sod(n) for n = 422011396 and 422011405.

It is not an unprimeable number, because it can be changed into a prime (422011423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200972 + ... + 203060.

It is an arithmetic number, because the mean of its divisors is an integer number (17775450).

Almost surely, 2422011424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426610800).

422011424 is an abundant number, since it is smaller than the sum of its proper divisors (431210176).

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

422011424 is a wasteful number, since it uses less digits than its factorization.

422011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 422011424 is about 20542.9166381018. The cubic root of 422011424 is about 750.0808351391.

Adding to 422011424 its reverse (424110224), we get a palindrome (846121648).

The spelling of 422011424 in words is "four hundred twenty-two million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 59 107 118 214 236 428 472 856 944 1712 1888 2089 3424 4178 6313 8356 12626 16712 25252 33424 50504 66848 101008 123251 202016 223523 246502 447046 493004 894092 986008 1788184 1972016 3576368 3944032 7152736 13187857 26375714 52751428 105502856 211005712 422011424