Search a number
-
+
22824 = 2332317
BaseRepresentation
bin101100100101000
31011022100
411210220
51212244
6253400
7123354
oct54450
934270
1022824
111616a
1211260
13a509
148464
156b69
hex5928

22824 has 24 divisors (see below), whose sum is σ = 62010. Its totient is φ = 7584.

The previous prime is 22817. The next prime is 22853. The reversal of 22824 is 42822.

It can be divided in two parts, 228 and 24, that added together give a palindrome (252).

It can be written as a sum of positive squares in only one way, i.e., 22500 + 324 = 150^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22797 and 22806.

It is an unprimeable number.

22824 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 5 ways as a sum of consecutive naturals, for example, 87 + ... + 230.

222824 is an apocalyptic number.

22824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22824 is an abundant number, since it is smaller than the sum of its proper divisors (39186).

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

22824 is a wasteful number, since it uses less digits than its factorization.

22824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 322 counting only the distinct ones).

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

The square root of 22824 is about 151.0761397442. The cubic root of 22824 is about 28.3659447646.

The spelling of 22824 in words is "twenty-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 317 634 951 1268 1902 2536 2853 3804 5706 7608 11412 22824