13748224 has 72 divisors (see below), whose sum is σ = 32211270. Its totient is φ = 5849088.

The previous prime is 13748213. The next prime is 13748237. The reversal of 13748224 is 42284731.

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 2458624 = 3360^2 + 1568^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100284 + ... + 100420.

Almost surely, 2^13748224 is an apocalyptic number.

13748224 is a gapful number since it is divisible by the number (14) 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 13748224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16105635).

13748224 is an abundant number, since it is smaller than the sum of its proper divisors (18463046).

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

13748224 is an equidigital number, since it uses as much as digits as its factorization.

13748224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 146 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 13748224 is about 3707.8597600233. The cubic root of 13748224 is about 239.5606777888.

The spelling of 13748224 in words is "thirteen million, seven hundred forty-eight thousand, two hundred twenty-four".