241353216 has 320 divisors, whose sum is σ = 824947200. Its totient is φ = 69009408.

The previous prime is 241353209. The next prime is 241353239. The reversal of 241353216 is 612353142.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 241353216.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3055065 + ... + 3055143.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^241353216 is an apocalyptic number.

241353216 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 241353216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412473600).

241353216 is an abundant number, since it is smaller than the sum of its proper divisors (583593984).

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

241353216 is a wasteful number, since it uses less digits than its factorization.

241353216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 241353216 is about 15535.5468522997. The cubic root of 241353216 is about 622.6123008310.

The spelling of 241353216 in words is "two hundred forty-one million, three hundred fifty-three thousand, two hundred sixteen".