282148224 has 64 divisors (see below), whose sum is σ = 767778480. Its totient is φ = 91750400.

The previous prime is 282148187. The next prime is 282148259. The reversal of 282148224 is 422841282.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6784 + ... + 24704.

Almost surely, 2^282148224 is an apocalyptic number.

282148224 is a gapful number since it is divisible by the number (24) 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 282148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383889240).

282148224 is an abundant number, since it is smaller than the sum of its proper divisors (485630256).

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

282148224 is a wasteful number, since it uses less digits than its factorization.

282148224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17979 (or 17967 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 282148224 is about 16797.2683493478. The cubic root of 282148224 is about 655.8820926301.

The spelling of 282148224 in words is "two hundred eighty-two million, one hundred forty-eight thousand, two hundred twenty-four".