211221248 has 72 divisors (see below), whose sum is σ = 484673280. Its totient is φ = 89994240.

The previous prime is 211221247. The next prime is 211221301. The reversal of 211221248 is 842122112.

It is a super-2 number, since 2×211221248² = 89228831213355008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (211221247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 557123 + ... + 557501.

Almost surely, 2^211221248 is an apocalyptic number.

211221248 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 211221248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242336640).

211221248 is an abundant number, since it is smaller than the sum of its proper divisors (273452032).

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

211221248 is an equidigital number, since it uses as much as digits as its factorization.

211221248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 699 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 211221248 is about 14533.4527212222. The cubic root of 211221248 is about 595.5421915601.

The spelling of 211221248 in words is "two hundred eleven million, two hundred twenty-one thousand, two hundred forty-eight".