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218434120 = 2355460853
BaseRepresentation
bin11010000010100…
…00101001001000
3120020000121021121
431001100221020
5421404342440
633401445024
75261442112
oct1501205110
9506017247
10218434120
11102333873
12611a0774
133633ca78
14210203b2
151429b34a
hexd050a48

218434120 has 16 divisors (see below), whose sum is σ = 491476860. Its totient is φ = 87373632.

The previous prime is 218434087. The next prime is 218434121. The reversal of 218434120 is 21434812.

It can be written as a sum of positive squares in 2 ways, for example, as 209033764 + 9400356 = 14458^2 + 3066^2 .

It is not an unprimeable number, because it can be changed into a prime (218434121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2730387 + ... + 2730466.

Almost surely, 2218434120 is an apocalyptic number.

218434120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218434120 is an abundant number, since it is smaller than the sum of its proper divisors (273042740).

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

218434120 is a wasteful number, since it uses less digits than its factorization.

218434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460864 (or 5460860 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 218434120 is about 14779.5169068546. The cubic root of 218434120 is about 602.2454012876.

Adding to 218434120 its reverse (21434812), we get a palindrome (239868932).

The spelling of 218434120 in words is "two hundred eighteen million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5460853 10921706 21843412 27304265 43686824 54608530 109217060 218434120