217016448 has 128 divisors (see below), whose sum is σ = 637459200. Its totient is φ = 64865280.

The previous prime is 217016447. The next prime is 217016473. The reversal of 217016448 is 844610712.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×217016448² = 94192277405073408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (217016447) 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 15 ways as a sum of consecutive naturals, for example, 350283 + ... + 350901.

It is an arithmetic number, because the mean of its divisors is an integer number (4980150).

Almost surely, 2^217016448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217016448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729600).

217016448 is an abundant number, since it is smaller than the sum of its proper divisors (420442752).

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

217016448 is a wasteful number, since it uses less digits than its factorization.

217016448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 217016448 is about 14731.4781335751. The cubic root of 217016448 is about 600.9396831134.

The spelling of 217016448 in words is "two hundred seventeen million, sixteen thousand, four hundred forty-eight".