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82816231 = 17191132269
BaseRepresentation
bin1001110111110…
…10110011100111
312202211111111211
410323322303213
5132200104411
612115012251
72023632511
oct473726347
9182744454
1082816231
1142825073
122389a087
13142081b4
14addabb1
15740d221
hex4eface7

82816231 has 16 divisors (see below), whose sum is σ = 93160800. Its totient is φ = 73156608.

The previous prime is 82816207. The next prime is 82816273. The reversal of 82816231 is 13261828.

It is a 11-Lehmer number, since φ(82816231) divides (82816231-1)11.

It is a cyclic number.

It is not a de Polignac number, because 82816231 - 27 = 82816103 is a prime.

It is a super-2 number, since 2×828162312 = 13717056234090722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82816193 and 82816202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82816291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35365 + ... + 37633.

It is an arithmetic number, because the mean of its divisors is an integer number (5822550).

Almost surely, 282816231 is an apocalyptic number.

82816231 is a deficient number, since it is larger than the sum of its proper divisors (10344569).

82816231 is a wasteful number, since it uses less digits than its factorization.

82816231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418.

The product of its digits is 4608, while the sum is 31.

The square root of 82816231 is about 9100.3423561974. The cubic root of 82816231 is about 435.8848961787.

The spelling of 82816231 in words is "eighty-two million, eight hundred sixteen thousand, two hundred thirty-one".

Divisors: 1 17 19 113 323 1921 2147 2269 36499 38573 43111 256397 732887 4358749 4871543 82816231