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218138140 = 225114323059
BaseRepresentation
bin11010000000010…
…00011000011100
3120012110120021101
431000020120130
5421320410030
633351242444
75256100153
oct1500103034
9505416241
10218138140
11102151460
1261079424
133626812c
1420d8459a
151423d7ca
hexd00861c

218138140 has 48 divisors (see below), whose sum is σ = 511378560. Its totient is φ = 77474880.

The previous prime is 218138111. The next prime is 218138143. The reversal of 218138140 is 41831812.

It is a junction number, because it is equal to n+sod(n) for n = 218138099 and 218138108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218138143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2070 + ... + 20989.

It is an arithmetic number, because the mean of its divisors is an integer number (10653720).

Almost surely, 2218138140 is an apocalyptic number.

218138140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218138140 is an abundant number, since it is smaller than the sum of its proper divisors (293240420).

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

218138140 is a wasteful number, since it uses less digits than its factorization.

218138140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23122 (or 23120 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 218138140 is about 14769.5003300721. The cubic root of 218138140 is about 601.9732625366.

Adding to 218138140 its reverse (41831812), we get a palindrome (259969952).

The spelling of 218138140 in words is "two hundred eighteen million, one hundred thirty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 23059 46118 92236 115295 230590 253649 461180 507298 991537 1014596 1268245 1983074 2536490 3966148 4957685 5072980 9915370 10906907 19830740 21813814 43627628 54534535 109069070 218138140