Search a number
-
+
12229000 = 235371747
BaseRepresentation
bin101110101001…
…100110001000
3212000022000221
4232221212020
511112312000
61114035424
7205642030
oct56514610
925008027
1012229000
1169a2913
124118b74
1326c22c4
1418a48c0
15111861a
hexba9988

12229000 has 64 divisors (see below), whose sum is σ = 32722560. Its totient is φ = 4190400.

The previous prime is 12228991. The next prime is 12229003. The reversal of 12229000 is 92221.

It is a happy number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12229003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6127 + ... + 7873.

It is an arithmetic number, because the mean of its divisors is an integer number (511290).

Almost surely, 212229000 is an apocalyptic number.

12229000 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 12229000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16361280).

12229000 is an abundant number, since it is smaller than the sum of its proper divisors (20493560).

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

12229000 is a wasteful number, since it uses less digits than its factorization.

12229000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 12229000 is about 3496.9987131825. The cubic root of 12229000 is about 230.3900125075.

The spelling of 12229000 in words is "twelve million, two hundred twenty-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1747 1750 3494 3500 6988 7000 8735 12229 13976 17470 24458 34940 43675 48916 61145 69880 87350 97832 122290 174700 218375 244580 305725 349400 436750 489160 611450 873500 1222900 1528625 1747000 2445800 3057250 6114500 12229000