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12223212 = 2232367661
BaseRepresentation
bin101110101000…
…001011101100
3212000000002120
4232220023230
511112120322
61113552540
7205616121
oct56501354
925000076
1012223212
116999531
124115750
1326bc791
1418a2748
151116a5c
hexba82ec

12223212 has 48 divisors (see below), whose sum is σ = 30250752. Its totient is φ = 3833280.

The previous prime is 12223199. The next prime is 12223271. The reversal of 12223212 is 21232221.

It is a happy number.

12223212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12223191 and 12223200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18162 + ... + 18822.

It is an arithmetic number, because the mean of its divisors is an integer number (630224).

Almost surely, 212223212 is an apocalyptic number.

12223212 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 12223212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15125376).

12223212 is an abundant number, since it is smaller than the sum of its proper divisors (18027540).

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

12223212 is a wasteful number, since it uses less digits than its factorization.

12223212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 756 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 12223212 is about 3496.1710484471. The cubic root of 12223212 is about 230.3536588174.

Adding to 12223212 its reverse (21232221), we get a palindrome (33455433).

Subtracting 12223212 from its reverse (21232221), we obtain a palindrome (9009009).

The spelling of 12223212 in words is "twelve million, two hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 67 69 92 134 138 201 268 276 402 661 804 1322 1541 1983 2644 3082 3966 4623 6164 7932 9246 15203 18492 30406 44287 45609 60812 88574 91218 132861 177148 182436 265722 531444 1018601 2037202 3055803 4074404 6111606 12223212