Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
12220 = 2251347
BaseRepresentation
bin10111110111100
3121202121
42332330
5342340
6132324
750425
oct27674
917677
1012220
1191aa
1270a4
135740
14464c
15394a
hex2fbc

12220 has 24 divisors (see below), whose sum is σ = 28224. Its totient is φ = 4416.

The previous prime is 12211. The next prime is 12227. The reversal of 12220 is 2221.

12220 = T39 + T40 + ... + T50.

It is a happy number.

12220 is nontrivially palindromic in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12227) by changing a digit.

12220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237 + ... + 283.

It is an arithmetic number, because the mean of its divisors is an integer number (1176).

212220 is an apocalyptic number.

12220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112).

12220 is an abundant number, since it is smaller than the sum of its proper divisors (16004).

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

12220 is a wasteful number, since it uses less digits than its factorization.

12220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 12220 is about 110.5441088435. The cubic root of 12220 is about 23.0333479703.

Adding to 12220 its reverse (2221), we get a palindrome (14441).

Subtracting from 12220 its reverse (2221), we obtain a palindrome (9999).

It can be divided in two parts, 12 and 220, that added together give a palindrome (232).

The spelling of 12220 in words is "twelve thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 940 1222 2444 3055 6110 12220