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422144442 = 232174093373
BaseRepresentation
bin11001001010010…
…110100110111010
31002102100011022100
4121022112212322
51331032110232
6105520004230
713314111546
oct3112264672
91072304270
10422144442
111a7320405
12b9460676
13695c5b15
14400caa26
15270d9c7c
hex192969ba

422144442 has 48 divisors (see below), whose sum is σ = 971104680. Its totient is φ = 132074496.

The previous prime is 422144419. The next prime is 422144447. The reversal of 422144442 is 244441224.

422144442 is a `hidden beast` number, since 4 + 2 + 214 + 4 + 442 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 375235641 + 46908801 = 19371^2 + 6849^2 .

It is a super-2 number, since 2×4221444422 = 356411859822982728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (422144447) 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, 123468 + ... + 126840.

Almost surely, 2422144442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422144442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485552340).

422144442 is an abundant number, since it is smaller than the sum of its proper divisors (548960238).

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

422144442 is a wasteful number, since it uses less digits than its factorization.

422144442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3804 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 422144442 is about 20546.1539466636. The cubic root of 422144442 is about 750.1596353530.

Adding to 422144442 its reverse (244441224), we get a palindrome (666585666).

It can be divided in two parts, 42214 and 4442, that added together give a 6-th power (46656 = 66).

The spelling of 422144442 in words is "four hundred twenty-two million, one hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 409 818 1227 2454 3373 3681 6746 6953 7362 10119 13906 20238 20859 30357 41718 57341 60714 62577 114682 125154 172023 344046 516069 1032138 1379557 2759114 4138671 8277342 12416013 23452469 24832026 46904938 70357407 140714814 211072221 422144442