241228416 has 256 divisors, whose sum is σ = 789626880. Its totient is φ = 64204800.

The previous prime is 241228411. The next prime is 241228417. The reversal of 241228416 is 614822142.

241228416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×241228416² = 116382297371738112, 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 (241228411) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1262881 + ... + 1263071.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2^241228416 is an apocalyptic number.

241228416 is a gapful number since it is divisible by the number (26) 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 241228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394813440).

241228416 is an abundant number, since it is smaller than the sum of its proper divisors (548398464).

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

241228416 is a wasteful number, since it uses less digits than its factorization.

241228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

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

The square root of 241228416 is about 15531.5297379234. The cubic root of 241228416 is about 622.5049679447.

The spelling of 241228416 in words is "two hundred forty-one million, two hundred twenty-eight thousand, four hundred sixteen".