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BaseRepresentation
bin10011001000
31200100
4103020
514344
65400
73366
oct2310
91610
101224
11a13
12860
13732
14636
15569
hex4c8

1224 has 24 divisors (see below), whose sum is σ = 3510. Its totient is φ = 384.

The previous prime is 1223. The next prime is 1229. The reversal of 1224 is 4221.

1224 is nontrivially palindromic in base 14.

It is a Cunningham number, because it is equal to 352-1.

It can be written as a sum of positive squares in only one way, i.e., 900 + 324 = 30^2 + 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 (9).

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

1224 is an undulating number in base 14.

It is a plaindrome in base 7, base 10 and base 15.

It is a nialpdrome in base 6, base 12 and base 13.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223) 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, 64 + ... + 80.

21224 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 1224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755).

1224 is an abundant number, since it is smaller than the sum of its proper divisors (2286).

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

1224 is a wasteful number, since it uses less digits than its factorization.

1224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 22 counting only the distinct ones).

The product of its digits is 16, while the sum is 9.

The square root of 1224 is about 34.9857113691. The cubic root of 1224 is about 10.6969624825.

Adding to 1224 its reverse (4221), we get a palindrome (5445).

It can be divided in two parts, 12 and 24, that added together give a triangular number (36 = T8).

The spelling of 1224 in words is "one thousand, two hundred twenty-four", and thus it is an iban number.