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12208032 = 2532192397
BaseRepresentation
bin101110100100…
…011110100000
3211222020021100
4232210132200
511111124112
61113354400
7205523634
oct56443640
924866240
1012208032
116989091
124108a00
1326b58b5
14189adc4
1511122dc
hexba47a0

12208032 has 144 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 3649536.

The previous prime is 12208019. The next prime is 12208033. The reversal of 12208032 is 23080221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12207996 and 12208014.

It is not an unprimeable number, because it can be changed into a prime (12208033) 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 23 ways as a sum of consecutive naturals, for example, 125808 + ... + 125904.

It is an arithmetic number, because the mean of its divisors is an integer number (267540).

Almost surely, 212208032 is an apocalyptic number.

12208032 is a gapful number since it is divisible by the number (12) 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 12208032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

12208032 is an abundant number, since it is smaller than the sum of its proper divisors (26317728).

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

12208032 is a wasteful number, since it uses less digits than its factorization.

12208032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12208032 is about 3493.9994275901. Note that the first 3 decimals coincide. The cubic root of 12208032 is about 230.2582606224.

Adding to 12208032 its reverse (23080221), we get a palindrome (35288253).

The spelling of 12208032 in words is "twelve million, two hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 32 36 38 46 48 57 69 72 76 92 96 97 114 138 144 152 171 184 194 207 228 276 288 291 304 342 368 388 414 437 456 552 582 608 684 736 776 828 873 874 912 1104 1164 1311 1368 1552 1656 1746 1748 1824 1843 2208 2231 2328 2622 2736 3104 3312 3492 3496 3686 3933 4462 4656 5244 5472 5529 6624 6693 6984 6992 7372 7866 8924 9312 10488 11058 13386 13968 13984 14744 15732 16587 17848 20079 20976 22116 26772 27936 29488 31464 33174 35696 40158 41952 42389 44232 53544 58976 62928 66348 71392 80316 84778 88464 107088 125856 127167 132696 160632 169556 176928 214176 254334 265392 321264 339112 381501 508668 530784 642528 678224 763002 1017336 1356448 1526004 2034672 3052008 4069344 6104016 12208032