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86008221 = 3213735113
BaseRepresentation
bin1010010000001…
…10000110011101
312222211200002200
411020012012131
5134004230341
612311242113
72063025555
oct510060635
9188750080
1086008221
1144605282
1224979339
1314a85050
14b5cc165
15783ddb6
hex520619d

86008221 has 12 divisors (see below), whose sum is σ = 133790748. Its totient is φ = 52928064.

The previous prime is 86008207. The next prime is 86008249. The reversal of 86008221 is 12280068.

It can be written as a sum of positive squares in 2 ways, for example, as 22184100 + 63824121 = 4710^2 + 7989^2 .

It is not a de Polignac number, because 86008221 - 26 = 86008157 is a prime.

It is a super-3 number, since 3×860082213 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86008271) 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 11 ways as a sum of consecutive naturals, for example, 367440 + ... + 367673.

It is an arithmetic number, because the mean of its divisors is an integer number (11149229).

Almost surely, 286008221 is an apocalyptic number.

It is an amenable number.

86008221 is a deficient number, since it is larger than the sum of its proper divisors (47782527).

86008221 is a wasteful number, since it uses less digits than its factorization.

86008221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735132 (or 735129 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 86008221 is about 9274.0617315176. The cubic root of 86008221 is about 441.4145607320.

Adding to 86008221 its reverse (12280068), we get a palindrome (98288289).

The spelling of 86008221 in words is "eighty-six million, eight thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 735113 2205339 6616017 9556469 28669407 86008221