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24228 = 2232673
BaseRepresentation
bin101111010100100
31020020100
411322210
51233403
6304100
7130431
oct57244
936210
1024228
1117226
1212030
13b049
148b88
1572a3
hex5ea4

24228 has 18 divisors (see below), whose sum is σ = 61334. Its totient is φ = 8064.

The previous prime is 24223. The next prime is 24229. The reversal of 24228 is 82242.

It can be written as a sum of positive squares in only one way, i.e., 19044 + 5184 = 138^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 24228.

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 5 ways as a sum of consecutive naturals, for example, 301 + ... + 372.

224228 is an apocalyptic number.

It is an amenable number.

24228 is an abundant number, since it is smaller than the sum of its proper divisors (37106).

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

24228 is a wasteful number, since it uses less digits than its factorization.

24228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 678 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 24228 is about 155.6534612529. The cubic root of 24228 is about 28.9360461448.

It can be divided in two parts, 242 and 28, that multiplied together give a palindrome (6776).

The spelling of 24228 in words is "twenty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 673 1346 2019 2692 4038 6057 8076 12114 24228