Search a number
-
+
422433220 = 225111999649
BaseRepresentation
bin11001001011011…
…101000111000100
31002102212211102211
4121023131013010
51331120330340
6105530113204
713316423506
oct3113350704
91072784384
10422433220
111a74a8370
12b957b804
13696973b1
1440163d76
15271455ea
hex192dd1c4

422433220 has 48 divisors (see below), whose sum is σ = 972720000. Its totient is φ = 152824320.

The previous prime is 422433197. The next prime is 422433229. The reversal of 422433220 is 22334224.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 422433191 and 422433200.

It is not an unprimeable number, because it can be changed into a prime (422433229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38956 + ... + 48604.

It is an arithmetic number, because the mean of its divisors is an integer number (20265000).

Almost surely, 2422433220 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 422433220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486360000).

422433220 is an abundant number, since it is smaller than the sum of its proper divisors (550286780).

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

422433220 is a wasteful number, since it uses less digits than its factorization.

422433220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9868 (or 9866 counting only the distinct ones).

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

The square root of 422433220 is about 20553.1802891913. The cubic root of 422433220 is about 750.3306512420.

Adding to 422433220 its reverse (22334224), we get a palindrome (444767444).

The spelling of 422433220 in words is "four hundred twenty-two million, four hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 796 995 1990 2189 3980 4378 8756 9649 10945 19298 21890 38596 43780 48245 96490 106139 192980 212278 424556 530695 1061390 1920151 2122780 3840302 7680604 9600755 19201510 21121661 38403020 42243322 84486644 105608305 211216610 422433220