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20224 = 2879
BaseRepresentation
bin100111100000000
31000202001
410330000
51121344
6233344
7112651
oct47400
930661
1020224
1114216
12b854
139289
147528
155ed4
hex4f00

20224 has 18 divisors (see below), whose sum is σ = 40880. Its totient is φ = 9984.

The previous prime is 20219. The next prime is 20231. The reversal of 20224 is 42202.

Adding to 20224 its reverse (42202), we get a palindrome (62426).

It is a happy number.

It is a plaindrome in base 6.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 20224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 217 + ... + 295.

220224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20440).

20224 is an abundant number, since it is smaller than the sum of its proper divisors (20656).

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

20224 is an frugal number, since it uses more digits than its factorization.

20224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 20224 is about 142.2111106770. The cubic root of 20224 is about 27.2451384308.

The spelling of 20224 in words is "twenty thousand, two hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 632 1264 2528 5056 10112 20224