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203229 = 3413193
BaseRepresentation
bin110001100111011101
3101022210000
4301213131
523000404
64204513
71504335
oct614735
9338700
10203229
11129764
1299739
1371670
14540c5
1540339
hex319dd

203229 has 20 divisors (see below), whose sum is σ = 328636. Its totient is φ = 124416.

The previous prime is 203227. The next prime is 203233. The reversal of 203229 is 922302.

It can be written as a sum of positive squares in 2 ways, for example, as 39204 + 164025 = 198^2 + 405^2 .

It is not a de Polignac number, because 203229 - 21 = 203227 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 203229.

It is not an unprimeable number, because it can be changed into a prime (203221) 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 19 ways as a sum of consecutive naturals, for example, 957 + ... + 1149.

2203229 is an apocalyptic number.

It is an amenable number.

203229 is a deficient number, since it is larger than the sum of its proper divisors (125407).

203229 is a wasteful number, since it uses less digits than its factorization.

203229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 203229 is about 450.8092723093. The cubic root of 203229 is about 58.7933978427.

It can be divided in two parts, 20 and 3229, that added together give a square (3249 = 572).

The spelling of 203229 in words is "two hundred three thousand, two hundred twenty-nine".

Divisors: 1 3 9 13 27 39 81 117 193 351 579 1053 1737 2509 5211 7527 15633 22581 67743 203229