Search a number
-
+
12231000 = 233453151
BaseRepresentation
bin101110101010…
…000101011000
3212000101210000
4232222011120
511112343000
61114053000
7205650615
oct56520530
925011700
1012231000
1169a4371
12411a160
1326c31a2
1418a550c
151119000
hexbaa158

12231000 has 160 divisors (see below), whose sum is σ = 43037280. Its totient is φ = 3240000.

The previous prime is 12230993. The next prime is 12231001. The reversal of 12231000 is 13221.

It is a happy number.

It is a super-2 number, since 2×122310002 = 299194722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231001) 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 39 ways as a sum of consecutive naturals, for example, 80925 + ... + 81075.

It is an arithmetic number, because the mean of its divisors is an integer number (268983).

Almost surely, 212231000 is an apocalyptic number.

12231000 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 12231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21518640).

12231000 is an abundant number, since it is smaller than the sum of its proper divisors (30806280).

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

12231000 is a wasteful number, since it uses less digits than its factorization.

12231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 12231000 is about 3497.2846609906. The cubic root of 12231000 is about 230.4025715859.

Adding to 12231000 its reverse (13221), we get a palindrome (12244221).

The spelling of 12231000 in words is "twelve million, two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 151 162 180 200 216 225 250 270 300 302 324 360 375 405 450 453 500 540 600 604 648 675 750 755 810 900 906 1000 1080 1125 1208 1350 1359 1500 1510 1620 1800 1812 2025 2250 2265 2700 2718 3000 3020 3240 3375 3624 3775 4050 4077 4500 4530 5400 5436 6040 6750 6795 7550 8100 8154 9000 9060 10125 10872 11325 12231 13500 13590 15100 16200 16308 18120 18875 20250 20385 22650 24462 27000 27180 30200 32616 33975 37750 40500 40770 45300 48924 54360 56625 61155 67950 75500 81000 81540 90600 97848 101925 113250 122310 135900 151000 163080 169875 203850 226500 244620 271800 305775 339750 407700 453000 489240 509625 611550 679500 815400 1019250 1223100 1359000 1528875 2038500 2446200 3057750 4077000 6115500 12231000