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20228 = 2213389
BaseRepresentation
bin100111100000100
31000202012
410330010
51121403
6233352
7112655
oct47404
930665
1020228
111421a
12b858
139290
14752c
155ed8
hex4f04

20228 has 12 divisors (see below), whose sum is σ = 38220. Its totient is φ = 9312.

The previous prime is 20219. The next prime is 20231. The reversal of 20228 is 82202.

It can be written as a sum of positive squares in 2 ways, for example, as 3844 + 16384 = 62^2 + 128^2 .

It is an unprimeable number.

20228 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143 + ... + 246.

It is an arithmetic number, because the mean of its divisors is an integer number (3185).

220228 is an apocalyptic number.

It is an amenable number.

20228 is a deficient number, since it is larger than the sum of its proper divisors (17992).

20228 is a wasteful number, since it uses less digits than its factorization.

20228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 20228 is about 142.2251735805. The cubic root of 20228 is about 27.2469345372.

Subtracting from 20228 its product of nonzero digits (64), we obtain a square (20164 = 1422).

It can be divided in two parts, 20 and 228, that multiplied together give a triangular number (4560 = T95).

The spelling of 20228 in words is "twenty thousand, two hundred twenty-eight".

Divisors: 1 2 4 13 26 52 389 778 1556 5057 10114 20228