Search a number
-
+
12219844 = 2271359569
BaseRepresentation
bin101110100111…
…010111000100
3211222211110211
4232213113010
511112013334
61113525204
7205603240
oct56472704
924884424
1012219844
116996a4a
124113804
1326bb0a0
1418a1420
151115a64
hexba75c4

12219844 has 48 divisors (see below), whose sum is σ = 26812800. Its totient is φ = 4743936.

The previous prime is 12219829. The next prime is 12219871. The reversal of 12219844 is 44891221.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21192 + ... + 21760.

It is an arithmetic number, because the mean of its divisors is an integer number (558600).

Almost surely, 212219844 is an apocalyptic number.

12219844 is a gapful number since it is divisible by the number (14) 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 12219844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13406400).

12219844 is an abundant number, since it is smaller than the sum of its proper divisors (14592956).

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

12219844 is a wasteful number, since it uses less digits than its factorization.

12219844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 650 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 12219844 is about 3495.6893454654. The cubic root of 12219844 is about 230.3324995566.

The spelling of 12219844 in words is "twelve million, two hundred nineteen thousand, eight hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 59 91 118 182 236 364 413 569 767 826 1138 1534 1652 2276 3068 3983 5369 7397 7966 10738 14794 15932 21476 29588 33571 51779 67142 103558 134284 207116 234997 436423 469994 872846 939988 1745692 3054961 6109922 12219844