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20230 = 257172
BaseRepresentation
bin100111100000110
31000202021
410330012
51121410
6233354
7112660
oct47406
930667
1020230
1114221
12b85a
139292
147530
155eda
hex4f06

20230 has 24 divisors (see below), whose sum is σ = 44208. Its totient is φ = 6528.

The previous prime is 20219. The next prime is 20231. The reversal of 20230 is 3202.

Adding to 20230 its reverse (3202), we get a palindrome (23432).

It can be divided in two parts, 202 and 30, that added together give a palindrome (232).

It is a Harshad number since it is a multiple of its sum of digits (7).

20230 is an undulating number in base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231) by changing a digit.

20230 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 1182 + ... + 1198.

It is an arithmetic number, because the mean of its divisors is an integer number (1842).

220230 is an apocalyptic number.

20230 is an abundant number, since it is smaller than the sum of its proper divisors (23978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22104).

20230 is a wasteful number, since it uses less digits than its factorization.

20230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 20230 is about 142.2322045108. The cubic root of 20230 is about 27.2478325016.

The spelling of 20230 in words is "twenty thousand, two hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 289 578 595 1190 1445 2023 2890 4046 10115 20230