Search a number
-
+
10220067 = 3311132647
BaseRepresentation
bin100110111111…
…001000100011
3201020020022000
4212333020203
510104020232
61003015043
7152604054
oct46771043
921206260
1010220067
115850540
12350a483
13216aaa0
14150072b
15d6d27c
hex9bf223

10220067 has 32 divisors (see below), whose sum is σ = 17794560. Its totient is φ = 5715360.

The previous prime is 10220057. The next prime is 10220069. The reversal of 10220067 is 76002201.

It is a happy number.

It is not a de Polignac number, because 10220067 - 24 = 10220051 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2538 + ... + 5184.

It is an arithmetic number, because the mean of its divisors is an integer number (556080).

Almost surely, 210220067 is an apocalyptic number.

10220067 is a deficient number, since it is larger than the sum of its proper divisors (7574493).

10220067 is a wasteful number, since it uses less digits than its factorization.

10220067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10220067 is about 3196.8839516004. The cubic root of 10220067 is about 217.0124154944.

Adding to 10220067 its reverse (76002201), we get a palindrome (86222268).

The spelling of 10220067 in words is "ten million, two hundred twenty thousand, sixty-seven".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 429 1287 2647 3861 7941 23823 29117 34411 71469 87351 103233 262053 309699 378521 786159 929097 1135563 3406689 10220067