18229248 has 144 divisors (see below), whose sum is σ = 56216160. Its totient is φ = 5677056.

The previous prime is 18229243. The next prime is 18229259. The reversal of 18229248 is 84292281.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (18229241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423915 + ... + 423957.

It is an arithmetic number, because the mean of its divisors is an integer number (390390).

Almost surely, 2^18229248 is an apocalyptic number.

18229248 is a gapful number since it is divisible by the number (18) 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 18229248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28108080).

18229248 is an abundant number, since it is smaller than the sum of its proper divisors (37986912).

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

18229248 is a wasteful number, since it uses less digits than its factorization.

18229248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 18229248 is about 4269.5723439239. The cubic root of 18229248 is about 263.1820413155.

18229248 divided by its product of digits (18432) gives a palindrome (989).

The spelling of 18229248 in words is "eighteen million, two hundred twenty-nine thousand, two hundred forty-eight".