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20229 = 311613
BaseRepresentation
bin100111100000101
31000202020
410330011
51121404
6233353
7112656
oct47405
930666
1020229
1114220
12b859
139291
14752d
155ed9
hex4f05

20229 has 8 divisors (see below), whose sum is σ = 29472. Its totient is φ = 12240.

The previous prime is 20219. The next prime is 20231. The reversal of 20229 is 92202.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 20229 - 27 = 20101 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274 + ... + 339.

It is an arithmetic number, because the mean of its divisors is an integer number (3684).

220229 is an apocalyptic number.

It is an amenable number.

20229 is a deficient number, since it is larger than the sum of its proper divisors (9243).

20229 is a wasteful number, since it uses less digits than its factorization.

20229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 20229 is about 142.2286890891. The cubic root of 20229 is about 27.2473835268.

Adding to 20229 its product of nonzero digits (72), we get a triangular number (20301 = T201).

It can be divided in two parts, 202 and 29, that added together give a triangular number (231 = T21).

The spelling of 20229 in words is "twenty thousand, two hundred twenty-nine".

Divisors: 1 3 11 33 613 1839 6743 20229