282961224 has 192 divisors, whose sum is σ = 993283200. Its totient is φ = 70668288.

The previous prime is 282961219. The next prime is 282961247. The reversal of 282961224 is 422169282.

282961224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123352 + ... + 125624.

It is an arithmetic number, because the mean of its divisors is an integer number (5173350).

Almost surely, 2^282961224 is an apocalyptic number.

282961224 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 282961224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496641600).

282961224 is an abundant number, since it is smaller than the sum of its proper divisors (710321976).

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

282961224 is a wasteful number, since it uses less digits than its factorization.

282961224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2317 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 282961224 is about 16821.4513048072. The cubic root of 282961224 is about 656.5114554392.

The spelling of 282961224 in words is "two hundred eighty-two million, nine hundred sixty-one thousand, two hundred twenty-four".