Search a number
-
+
422443300 = 225223613011
BaseRepresentation
bin11001001011011…
…111100100100100
31002102220100021011
4121023133210210
51331121141200
6105530232004
713316465056
oct3113374444
91072810234
10422443300
111a75049a4
12b9585604
136969bb66
14401678d6
15271485ba
hex192df924

422443300 has 72 divisors (see below), whose sum is σ = 972562752. Its totient is φ = 158928000.

The previous prime is 422443289. The next prime is 422443303. The reversal of 422443300 is 3344224.

It is not an unprimeable number, because it can be changed into a prime (422443303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138795 + ... + 141805.

It is an arithmetic number, because the mean of its divisors is an integer number (13507816).

Almost surely, 2422443300 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 422443300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486281376).

422443300 is an abundant number, since it is smaller than the sum of its proper divisors (550119452).

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

422443300 is a wasteful number, since it uses less digits than its factorization.

422443300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 422443300 is about 20553.4255052534. The cubic root of 422443300 is about 750.3366192644.

Adding to 422443300 its reverse (3344224), we get a palindrome (425787524).

It can be divided in two parts, 4224 and 43300, that added together give a square (47524 = 2182).

The spelling of 422443300 in words is "four hundred twenty-two million, four hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 61 92 100 115 122 230 244 305 460 575 610 1150 1220 1403 1525 2300 2806 3011 3050 5612 6022 6100 7015 12044 14030 15055 28060 30110 35075 60220 69253 70150 75275 138506 140300 150550 183671 277012 301100 346265 367342 692530 734684 918355 1385060 1731325 1836710 3462650 3673420 4224433 4591775 6925300 8448866 9183550 16897732 18367100 21122165 42244330 84488660 105610825 211221650 422443300