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8203231 = 1719109233
BaseRepresentation
bin11111010010101111011111
3120102202201101
4133102233133
54100000411
6451453531
7126504061
oct37225737
916382641
108203231
1146a3233
1228b72a7
131912aaa
141137731
15ac08c1
hex7d2bdf

8203231 has 16 divisors (see below), whose sum is σ = 9266400. Its totient is φ = 7216128.

The previous prime is 8203213. The next prime is 8203241. The reversal of 8203231 is 1323028.

It is a happy number.

8203231 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a 10-Lehmer number, since φ(8203231) divides (8203231-1)10.

It is a cyclic number.

It is not a de Polignac number, because 8203231 - 25 = 8203199 is a prime.

It is a super-2 number, since 2×82032312 = 134585997678722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

8203231 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8203199 and 8203208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8203241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35091 + ... + 35323.

It is an arithmetic number, because the mean of its divisors is an integer number (579150).

Almost surely, 28203231 is an apocalyptic number.

8203231 is a deficient number, since it is larger than the sum of its proper divisors (1063169).

8203231 is a wasteful number, since it uses less digits than its factorization.

8203231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 8203231 is about 2864.1283141647. The cubic root of 8203231 is about 201.6794494398.

Adding to 8203231 its reverse (1323028), we get a palindrome (9526259).

The spelling of 8203231 in words is "eight million, two hundred three thousand, two hundred thirty-one".

Divisors: 1 17 19 109 233 323 1853 2071 3961 4427 25397 35207 75259 431749 482543 8203231