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2218281714 = 234116120407
BaseRepresentation
bin1000010000111000…
…0100101011110010
312201121002101110000
42010032010223302
514020340003324
61004041250430
7105654040425
oct20416045362
95647071400
102218281714
11a39186980
1251aa93a16
1329476293c
141708799bc
15ceb2d9c9
hex84384af2

2218281714 has 80 divisors (see below), whose sum is σ = 5511629376. Its totient is φ = 661154400.

The previous prime is 2218281707. The next prime is 2218281719. The reversal of 2218281714 is 4171828122.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2218281719) 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 39 ways as a sum of consecutive naturals, for example, 98499 + ... + 118905.

Almost surely, 22218281714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2218281714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755814688).

2218281714 is an abundant number, since it is smaller than the sum of its proper divisors (3293347662).

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

2218281714 is a wasteful number, since it uses less digits than its factorization.

2218281714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20493 (or 20484 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 2218281714 is about 47098.6381331775. The cubic root of 2218281714 is about 1304.1840956196.

The spelling of 2218281714 in words is "two billion, two hundred eighteen million, two hundred eighty-one thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 81 99 122 162 183 198 297 366 549 594 671 891 1098 1342 1647 1782 2013 3294 4026 4941 6039 9882 12078 18117 20407 36234 40814 54351 61221 108702 122442 183663 224477 367326 448954 550989 673431 1101978 1244827 1346862 1652967 2020293 2489654 3305934 3734481 4040586 6060879 7468962 11203443 12121758 13693097 18182637 22406886 27386194 33610329 36365274 41079291 67220658 82158582 100830987 123237873 201661974 246475746 369713619 739427238 1109140857 2218281714