213282048 has 144 divisors (see below), whose sum is σ = 657023360. Its totient is φ = 60162048.

The previous prime is 213282007. The next prime is 213282061. The reversal of 213282048 is 840282312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521268 + ... + 521676.

Almost surely, 2^213282048 is an apocalyptic number.

213282048 is a gapful number since it is divisible by the number (28) 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 213282048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328511680).

213282048 is an abundant number, since it is smaller than the sum of its proper divisors (443741312).

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

213282048 is an equidigital number, since it uses as much as digits as its factorization.

213282048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 213282048 is about 14604.1791279072. The cubic root of 213282048 is about 597.4727477168.

The spelling of 213282048 in words is "two hundred thirteen million, two hundred eighty-two thousand, forty-eight".