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218385748 = 22721114213
BaseRepresentation
bin11010000010001…
…00110101010100
3120012221010221001
431001010311110
5421401320443
633400433044
75261151100
oct1501046524
9505833831
10218385748
11102300499
1261178784
1336323a49
142100a900
151428bd4d
hexd044d54

218385748 has 18 divisors (see below), whose sum is σ = 444571386. Its totient is φ = 93593808.

The previous prime is 218385743. The next prime is 218385749. The reversal of 218385748 is 847583812.

218385748 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 193265604 + 25120144 = 13902^2 + 5012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 218385698 and 218385707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218385743) 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 5 ways as a sum of consecutive naturals, for example, 556911 + ... + 557302.

Almost surely, 2218385748 is an apocalyptic number.

218385748 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

218385748 is an abundant number, since it is smaller than the sum of its proper divisors (226185638).

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

218385748 is a wasteful number, since it uses less digits than its factorization.

218385748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114231 (or 1114222 counting only the distinct ones).

The product of its digits is 430080, while the sum is 46.

The square root of 218385748 is about 14777.8803622170. The cubic root of 218385748 is about 602.2009424744.

The spelling of 218385748 in words is "two hundred eighteen million, three hundred eighty-five thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 1114213 2228426 4456852 7799491 15598982 31197964 54596437 109192874 218385748