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216537841 = 1322934373
BaseRepresentation
bin11001110100000…
…01101011110001
3120002110021002001
430322001223301
5420413202331
633253054001
75236353442
oct1472015361
9502407061
10216537841
111012590a3
1260627301
1335b27900
1420a892c9
1514024561
hexce81af1

216537841 has 12 divisors (see below), whose sum is σ = 235329948. Its totient is φ = 199153344.

The previous prime is 216537833. The next prime is 216537863. The reversal of 216537841 is 148735612.

216537841 is digitally balanced in base 2, 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 6 ways, for example, as 1299600 + 215238241 = 1140^2 + 14671^2 .

It is not a de Polignac number, because 216537841 - 23 = 216537833 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 216537841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216537241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47331 + ... + 51703.

It is an arithmetic number, because the mean of its divisors is an integer number (19610829).

Almost surely, 2216537841 is an apocalyptic number.

It is an amenable number.

216537841 is a deficient number, since it is larger than the sum of its proper divisors (18792107).

216537841 is a wasteful number, since it uses less digits than its factorization.

216537841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4679 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 216537841 is about 14715.2248029040. The cubic root of 216537841 is about 600.4975881552.

The spelling of 216537841 in words is "two hundred sixteen million, five hundred thirty-seven thousand, eight hundred forty-one".

Divisors: 1 13 169 293 3809 4373 49517 56849 739037 1281289 16656757 216537841