Search a number
-
+
422230240 = 25589149199
BaseRepresentation
bin11001001010101…
…011100011100000
31002102111112000001
4121022223203200
51331042331430
6105521505344
713314616645
oct3112534340
91072445001
10422230240
111a7379913
12b94a2254
1369625ba3
144010ddcc
15271053ca
hex192ab8e0

422230240 has 96 divisors (see below), whose sum is σ = 1020600000. Its totient is φ = 165040128.

The previous prime is 422230231. The next prime is 422230253. The reversal of 422230240 is 42032224.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2121661 + ... + 2121859.

It is an arithmetic number, because the mean of its divisors is an integer number (10631250).

Almost surely, 2422230240 is an apocalyptic number.

422230240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510300000).

422230240 is an abundant number, since it is smaller than the sum of its proper divisors (598369760).

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

422230240 is a wasteful number, since it uses less digits than its factorization.

422230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 422230240 is about 20548.2417739329. The cubic root of 422230240 is about 750.2104535328.

Adding to 422230240 its reverse (42032224), we get a palindrome (464262464).

The spelling of 422230240 in words is "four hundred twenty-two million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 149 160 178 199 298 356 398 445 596 712 745 796 890 995 1192 1424 1490 1592 1780 1990 2384 2848 2980 3184 3560 3980 4768 5960 6368 7120 7960 11920 13261 14240 15920 17711 23840 26522 29651 31840 35422 53044 59302 66305 70844 88555 106088 118604 132610 141688 148255 177110 212176 237208 265220 283376 296510 354220 424352 474416 530440 566752 593020 708440 948832 1060880 1186040 1416880 2121760 2372080 2638939 2833760 4744160 5277878 10555756 13194695 21111512 26389390 42223024 52778780 84446048 105557560 211115120 422230240