Search a number
-
+
12220890 = 23511291277
BaseRepresentation
bin101110100111…
…100111011010
3211222212220120
4232213213122
511112032030
61113534110
7205606263
oct56474732
924885816
1012220890
116997810
124114336
1326bb6c6
1418a196a
151116010
hexba79da

12220890 has 64 divisors (see below), whose sum is σ = 33125760. Its totient is φ = 2858240.

The previous prime is 12220877. The next prime is 12220891. The reversal of 12220890 is 9802221.

It is a self number, because there is not a number n which added to its sum of digits gives 12220890.

It is not an unprimeable number, because it can be changed into a prime (12220891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8932 + ... + 10208.

It is an arithmetic number, because the mean of its divisors is an integer number (517590).

Almost surely, 212220890 is an apocalyptic number.

12220890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16562880).

12220890 is an abundant number, since it is smaller than the sum of its proper divisors (20904870).

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

12220890 is a wasteful number, since it uses less digits than its factorization.

12220890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 12220890 is about 3495.8389551008. The cubic root of 12220890 is about 230.3390714059.

It can be divided in two parts, 122 and 20890, that added together give a palindrome (21012).

The spelling of 12220890 in words is "twelve million, two hundred twenty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1277 1595 1914 2554 3190 3831 4785 6385 7662 9570 12770 14047 19155 28094 37033 38310 42141 70235 74066 84282 111099 140470 185165 210705 222198 370330 407363 421410 555495 814726 1110990 1222089 2036815 2444178 4073630 6110445 12220890