Search a number
-
+
13170222 = 2331373257
BaseRepresentation
bin110010001111…
…011000101110
3220210010011000
4302033120232
511332421342
61150141130
7216642102
oct62173056
926703130
1013170222
117485a8a
1244b17a6
132961840
141a6b902
15125244c
hexc8f62e

13170222 has 64 divisors (see below), whose sum is σ = 32074560. Its totient is φ = 3981312.

The previous prime is 13170217. The next prime is 13170229. The reversal of 13170222 is 22207131.

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 = 13170195 and 13170204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13170229) 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, 51118 + ... + 51374.

It is an arithmetic number, because the mean of its divisors is an integer number (501165).

Almost surely, 213170222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13170222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16037280).

13170222 is an abundant number, since it is smaller than the sum of its proper divisors (18904338).

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

13170222 is a wasteful number, since it uses less digits than its factorization.

13170222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

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

The square root of 13170222 is about 3629.0800487176. The cubic root of 13170222 is about 236.1553009219.

Adding to 13170222 its reverse (22207131), we get a palindrome (35377353).

The spelling of 13170222 in words is "thirteen million, one hundred seventy thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 73 78 117 146 219 234 257 351 438 514 657 702 771 949 1314 1542 1898 1971 2313 2847 3341 3942 4626 5694 6682 6939 8541 10023 13878 17082 18761 20046 25623 30069 37522 51246 56283 60138 90207 112566 168849 180414 243893 337698 487786 506547 731679 1013094 1463358 2195037 4390074 6585111 13170222