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218287242 = 23217713357
BaseRepresentation
bin11010000001011…
…00110010001010
3120012202010210200
431000230302022
5421340142432
633354353030
75260260645
oct1500546212
9505663720
10218287242
11102243488
126112b776
13362bac64
1420dc2a5c
151426ca7c
hexd02cc8a

218287242 has 24 divisors (see below), whose sum is σ = 500777316. Its totient is φ = 68482176.

The previous prime is 218287241. The next prime is 218287243. The reversal of 218287242 is 242782812.

It is an interprime number because it is at equal distance from previous prime (218287241) and next prime (218287243).

It can be written as a sum of positive squares in 2 ways, for example, as 215825481 + 2461761 = 14691^2 + 1569^2 .

It is a junction number, because it is equal to n+sod(n) for n = 218287197 and 218287206.

It is not an unprimeable number, because it can be changed into a prime (218287241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356373 + ... + 356984.

Almost surely, 2218287242 is an apocalyptic number.

218287242 is an abundant number, since it is smaller than the sum of its proper divisors (282490074).

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

218287242 is a wasteful number, since it uses less digits than its factorization.

218287242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713382 (or 713379 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 218287242 is about 14774.5470996576. The cubic root of 218287242 is about 602.1103850884.

The spelling of 218287242 in words is "two hundred eighteen million, two hundred eighty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 713357 1426714 2140071 4280142 6420213 12127069 12840426 24254138 36381207 72762414 109143621 218287242