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8201229 = 329107881
BaseRepresentation
bin11111010010010000001101
3120102122222020
4133102100031
54044414404
6451440353
7126465201
oct37222015
916378866
108201229
1146a1783
1228b60b9
131911bca
141136b01
15abeed9
hex7d240d

8201229 has 16 divisors (see below), whose sum is σ = 11430720. Its totient is φ = 5223680.

The previous prime is 8201213. The next prime is 8201233. The reversal of 8201229 is 9221028.

It is a cyclic number.

It is not a de Polignac number, because 8201229 - 24 = 8201213 is a prime.

It is a super-2 number, since 2×82012292 = 134520314220882, which contains 22 as substring.

It is a Curzon number.

8201229 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8201199 and 8201208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201239) 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 15 ways as a sum of consecutive naturals, for example, 8869 + ... + 9749.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 28201229 is an apocalyptic number.

It is an amenable number.

8201229 is a deficient number, since it is larger than the sum of its proper divisors (3229491).

8201229 is a wasteful number, since it uses less digits than its factorization.

8201229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 8201229 is about 2863.7787973236. The cubic root of 8201229 is about 201.6630414696.

The spelling of 8201229 in words is "eight million, two hundred one thousand, two hundred twenty-nine".

Divisors: 1 3 29 87 107 321 881 2643 3103 9309 25549 76647 94267 282801 2733743 8201229