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12231232 = 261361241
BaseRepresentation
bin101110101010…
…001001000000
3212000102002121
4232222021000
511112344412
61114054024
7205651366
oct56521100
925012077
1012231232
1169a4562
12411a314
1326c3320
1418a5636
151119107
hexbaa240

12231232 has 56 divisors (see below), whose sum is σ = 26677112. Its totient is φ = 5529600.

The previous prime is 12231229. The next prime is 12231253. The reversal of 12231232 is 23213221.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 12222016 = 96^2 + 3496^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50632 + ... + 50872.

It is an arithmetic number, because the mean of its divisors is an integer number (476377).

Almost surely, 212231232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13338556).

12231232 is an abundant number, since it is smaller than the sum of its proper divisors (14445880).

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

12231232 is a wasteful number, since it uses less digits than its factorization.

12231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 317 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 12231232 is about 3497.3178294230. The cubic root of 12231232 is about 230.4040283503.

Adding to 12231232 its reverse (23213221), we get a palindrome (35444453).

It can be divided in two parts, 122 and 31232, that multiplied together give a square (3810304 = 19522).

The spelling of 12231232 in words is "twelve million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 208 241 244 416 482 488 793 832 964 976 1586 1928 1952 3133 3172 3856 3904 6266 6344 7712 12532 12688 14701 15424 25064 25376 29402 50128 50752 58804 100256 117608 191113 200512 235216 382226 470432 764452 940864 1528904 3057808 6115616 12231232