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218230480 = 24513209837
BaseRepresentation
bin11010000000111…
…10111011010000
3120012122020221101
431000132323100
5421331333410
633353234144
75256633316
oct1500367320
9505566841
10218230480
11102204876
1261102954
133629b180
1420daa0b6
151425ad3a
hexd01eed0

218230480 has 40 divisors (see below), whose sum is σ = 546418152. Its totient is φ = 80577024.

The previous prime is 218230427. The next prime is 218230487. The reversal of 218230480 is 84032812.

It can be written as a sum of positive squares in 4 ways, for example, as 30869136 + 187361344 = 5556^2 + 13688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218230487) 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 7 ways as a sum of consecutive naturals, for example, 103879 + ... + 105958.

Almost surely, 2218230480 is an apocalyptic number.

218230480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218230480 is an abundant number, since it is smaller than the sum of its proper divisors (328187672).

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

218230480 is a wasteful number, since it uses less digits than its factorization.

218230480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209863 (or 209857 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 218230480 is about 14772.6260360168. The cubic root of 218230480 is about 602.0581909364.

The spelling of 218230480 in words is "two hundred eighteen million, two hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 209837 419674 839348 1049185 1678696 2098370 2727881 3357392 4196740 5455762 8393480 10911524 13639405 16786960 21823048 27278810 43646096 54557620 109115240 218230480