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218220012 = 223229434861
BaseRepresentation
bin11010000000111…
…00010111101100
3120012121201120200
431000130113230
5421331020022
633353113500
75256560643
oct1500342754
9505551520
10218220012
111021a7a1a
12610b8890
133629648a
1420da635a
1514257bac
hexd01c5ec

218220012 has 72 divisors (see below), whose sum is σ = 584023440. Its totient is φ = 68584320.

The previous prime is 218220001. The next prime is 218220019. The reversal of 218220012 is 210022812.

It is a happy number.

218220012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (218220019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42462 + ... + 47322.

Almost surely, 2218220012 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 218220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292011720).

218220012 is an abundant number, since it is smaller than the sum of its proper divisors (365803428).

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

218220012 is a wasteful number, since it uses less digits than its factorization.

218220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 218220012 is about 14772.2717278014. The cubic root of 218220012 is about 602.0485643466.

Adding to 218220012 its reverse (210022812), we get a palindrome (428242824).

The spelling of 218220012 in words is "two hundred eighteen million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 43 58 86 87 116 129 172 174 258 261 348 387 516 522 774 1044 1247 1548 2494 3741 4861 4988 7482 9722 11223 14583 14964 19444 22446 29166 43749 44892 58332 87498 140969 174996 209023 281938 418046 422907 563876 627069 836092 845814 1254138 1268721 1691628 1881207 2508276 2537442 3762414 5074884 6061667 7524828 12123334 18185001 24246668 36370002 54555003 72740004 109110006 218220012