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200781216 = 2532697157
BaseRepresentation
bin10111111011110…
…10110110100000
3111222210202001100
423331322312200
5402344444331
631531234400
74655416656
oct1375726640
9458722040
10200781216
11a3376999
12572a8a00
133279ba6c
141c946dd6
1512960ae6
hexbf7ada0

200781216 has 36 divisors (see below), whose sum is σ = 570972402. Its totient is φ = 66926976.

The previous prime is 200781209. The next prime is 200781221. The reversal of 200781216 is 612187002.

200781216 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., 198810000 + 1971216 = 14100^2 + 1404^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 200781216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 348291 + ... + 348866.

Almost surely, 2200781216 is an apocalyptic number.

It is an amenable number.

200781216 is an abundant number, since it is smaller than the sum of its proper divisors (370191186).

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

200781216 is a wasteful number, since it uses less digits than its factorization.

200781216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697173 (or 697162 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 200781216 is about 14169.7288612027. The cubic root of 200781216 is about 585.5639882002.

The spelling of 200781216 in words is "two hundred million, seven hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 697157 1394314 2091471 2788628 4182942 5577256 6274413 8365884 11154512 12548826 16731768 22309024 25097652 33463536 50195304 66927072 100390608 200781216