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220200012 = 2233412232
BaseRepresentation
bin11010001111111…
…11110001001100
3120100100022122000
431013333301030
5422332400022
633503352300
75312445354
oct1507776114
9510308560
10220200012
1110332a58a
12618b2690
133680a786
142135db64
15144e96ac
hexd1ffc4c

220200012 has 72 divisors (see below), whose sum is σ = 587447280. Its totient is φ = 71288640.

The previous prime is 220200011. The next prime is 220200059. The reversal of 220200012 is 210002022.

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

It is a junction number, because it is equal to n+sod(n) for n = 220199967 and 220200003.

It is not an unprimeable number, because it can be changed into a prime (220200011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987333 + ... + 987555.

It is an arithmetic number, because the mean of its divisors is an integer number (8158990).

Almost surely, 2220200012 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 220200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293723640).

220200012 is an abundant number, since it is smaller than the sum of its proper divisors (367247268).

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

220200012 is a wasteful number, since it uses less digits than its factorization.

220200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 220200012 is about 14839.1378455758. The cubic root of 220200012 is about 603.8639629014.

Adding to 220200012 its reverse (210002022), we get a palindrome (430202034).

The spelling of 220200012 in words is "two hundred twenty million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 223 246 369 446 492 669 738 892 1107 1338 1476 2007 2214 2676 4014 4428 6021 8028 9143 12042 18286 24084 27429 36572 49729 54858 82287 99458 109716 149187 164574 198916 246861 298374 329148 447561 493722 596748 895122 987444 1342683 1790244 2038889 2685366 4077778 5370732 6116667 8155556 12233334 18350001 24466668 36700002 55050003 73400004 110100006 220200012