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218081140 = 22516376661
BaseRepresentation
bin11001111111110…
…10011101110100
3120012100200002021
430333322131310
5421312044030
633350122524
75255442034
oct1477723564
9505320067
10218081140
11102112652
1261050444
13362481c4
1420d6b8c4
151422b97a
hexcffa774

218081140 has 24 divisors (see below), whose sum is σ = 458318952. Its totient is φ = 87166080.

The previous prime is 218081137. The next prime is 218081153. The reversal of 218081140 is 41180812.

It can be written as a sum of positive squares in 4 ways, for example, as 17405584 + 200675556 = 4172^2 + 14166^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29410 + ... + 36070.

It is an arithmetic number, because the mean of its divisors is an integer number (19096623).

Almost surely, 2218081140 is an apocalyptic number.

218081140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218081140 is an abundant number, since it is smaller than the sum of its proper divisors (240237812).

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

218081140 is a wasteful number, since it uses less digits than its factorization.

218081140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8307 (or 8305 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 218081140 is about 14767.5705517191. The cubic root of 218081140 is about 601.9208256342.

The spelling of 218081140 in words is "two hundred eighteen million, eighty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1637 3274 6548 6661 8185 13322 16370 26644 32740 33305 66610 133220 10904057 21808114 43616228 54520285 109040570 218081140