Search a number
-
+
20440422 = 2322397509
BaseRepresentation
bin100110111111…
…0010101100110
31102110110222200
41031332111212
520213043142
62010035330
7335512032
oct115762546
942413880
1020440422
11105a1212
126a18b46
134308a32
142a011c2
151bdb64c
hex137e566

20440422 has 48 divisors (see below), whose sum is σ = 46781280. Its totient is φ = 6437376.

The previous prime is 20440421. The next prime is 20440423. The reversal of 20440422 is 22404402.

20440422 is a `hidden beast` number, since 204 + 40 + 422 = 666.

It is an interprime number because it is at equal distance from previous prime (20440421) and next prime (20440423).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20440395 and 20440404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20440421) 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, 39904 + ... + 40412.

It is an arithmetic number, because the mean of its divisors is an integer number (974610).

Almost surely, 220440422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20440422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640).

20440422 is an abundant number, since it is smaller than the sum of its proper divisors (26340858).

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

20440422 is a wasteful number, since it uses less digits than its factorization.

20440422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 20440422 is about 4521.1084923943. The cubic root of 20440422 is about 273.4197945129.

Adding to 20440422 its reverse (22404402), we get a palindrome (42844824).

The spelling of 20440422 in words is "twenty million, four hundred forty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 97 138 194 207 291 414 509 582 873 1018 1527 1746 2231 3054 4462 4581 6693 9162 11707 13386 20079 23414 35121 40158 49373 70242 98746 105363 148119 210726 296238 444357 888714 1135579 2271158 3406737 6813474 10220211 20440422