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218328672 = 2532274257
BaseRepresentation
bin11010000001101…
…10111001100000
3120012211020122010
431000312321200
5421343004142
633355312520
75260522512
oct1500667140
9505736563
10218328672
11102271621
126114b740
1336303a83
1420dd3bb2
1514279e9c
hexd036e60

218328672 has 24 divisors (see below), whose sum is σ = 573113016. Its totient is φ = 72776192.

The previous prime is 218328647. The next prime is 218328701. The reversal of 218328672 is 276823812.

218328672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 218328672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1137033 + ... + 1137224.

It is an arithmetic number, because the mean of its divisors is an integer number (23879709).

Almost surely, 2218328672 is an apocalyptic number.

It is an amenable number.

218328672 is an abundant number, since it is smaller than the sum of its proper divisors (354784344).

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

218328672 is a wasteful number, since it uses less digits than its factorization.

218328672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274270 (or 2274262 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 218328672 is about 14775.9491065718. The cubic root of 218328672 is about 602.1484753513.

The spelling of 218328672 in words is "two hundred eighteen million, three hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2274257 4548514 6822771 9097028 13645542 18194056 27291084 36388112 54582168 72776224 109164336 218328672