Search a number
-
+
22135050 = 2325277027
BaseRepresentation
bin101010001110…
…0000100001010
31112122120120200
41110130010022
521131310200
62110233030
7356100450
oct124340412
945576520
1022135050
1111549433
1274b5776
134780182
142d229d0
151e23800
hex151c10a

22135050 has 72 divisors (see below), whose sum is σ = 67974816. Its totient is φ = 5058720.

The previous prime is 22134989. The next prime is 22135051. The reversal of 22135050 is 5053122.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (22135051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 364 + ... + 6663.

Almost surely, 222135050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22135050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33987408).

22135050 is an abundant number, since it is smaller than the sum of its proper divisors (45839766).

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

22135050 is a wasteful number, since it uses less digits than its factorization.

22135050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7052 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 22135050 is about 4704.7901122154. The cubic root of 22135050 is about 280.7761205251.

Adding to 22135050 its reverse (5053122), we get a palindrome (27188172).

The spelling of 22135050 in words is "twenty-two million, one hundred thirty-five thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1575 3150 7027 14054 21081 35135 42162 49189 63243 70270 98378 105405 126486 147567 175675 210810 245945 295134 316215 351350 442701 491890 527025 632430 737835 885402 1054050 1229725 1475670 1581075 2213505 2459450 3162150 3689175 4427010 7378350 11067525 22135050