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24220 = 2257173
BaseRepresentation
bin101111010011100
31020020001
411322130
51233340
6304044
7130420
oct57234
936201
1024220
1117219
1212024
13b041
148b80
15729a
hex5e9c

24220 has 24 divisors (see below), whose sum is σ = 58464. Its totient is φ = 8256.

The previous prime is 24203. The next prime is 24223. The reversal of 24220 is 2242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 24197 and 24206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54 + ... + 226.

It is an arithmetic number, because the mean of its divisors is an integer number (2436).

224220 is an apocalyptic number.

24220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29232).

24220 is an abundant number, since it is smaller than the sum of its proper divisors (34244).

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

24220 is a wasteful number, since it uses less digits than its factorization.

24220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

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

The square root of 24220 is about 155.6277610197. The cubic root of 24220 is about 28.9328609341.

Adding to 24220 its reverse (2242), we get a palindrome (26462).

It can be divided in two parts, 242 and 20, that added together give a palindrome (262).

The spelling of 24220 in words is "twenty-four thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 1211 1730 2422 3460 4844 6055 12110 24220