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2008227 = 313217233
BaseRepresentation
bin111101010010010100011
310210000202210
413222102203
51003230402
6111013203
723032614
oct7522243
93700683
102008227
1111518a1
1280a203
13554100
143a3c0b
1529a06c
hex1ea4a3

2008227 has 24 divisors (see below), whose sum is σ = 3083184. Its totient is φ = 1158144.

The previous prime is 2008219. The next prime is 2008231. The reversal of 2008227 is 7228002.

It is not a de Polignac number, because 2008227 - 23 = 2008219 is a prime.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (2008247) 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 23 ways as a sum of consecutive naturals, for example, 8503 + ... + 8735.

It is an arithmetic number, because the mean of its divisors is an integer number (128466).

22008227 is an apocalyptic number.

2008227 is a deficient number, since it is larger than the sum of its proper divisors (1074957).

2008227 is a wasteful number, since it uses less digits than its factorization.

2008227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2008227 is about 1417.1192610363. The cubic root of 2008227 is about 126.1646248265.

The spelling of 2008227 in words is "two million, eight thousand, two hundred twenty-seven".

Divisors: 1 3 13 17 39 51 169 221 233 507 663 699 2873 3029 3961 8619 9087 11883 39377 51493 118131 154479 669409 2008227