217226016 has 192 divisors, whose sum is σ = 739872000. Its totient is φ = 61979904.

The previous prime is 217225973. The next prime is 217226029. The reversal of 217226016 is 610622712.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 295986 + ... + 296718.

It is an arithmetic number, because the mean of its divisors is an integer number (3853500).

Almost surely, 2^217226016 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 217226016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369936000).

217226016 is an abundant number, since it is smaller than the sum of its proper divisors (522645984).

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

217226016 is an equidigital number, since it uses as much as digits as its factorization.

217226016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 217226016 is about 14738.5893490524. The cubic root of 217226016 is about 601.1330589488.

217226016 divided by its sum of digits (27) gives a palindrome (8045408).

Adding to 217226016 its reverse (610622712), we get a palindrome (827848728).

The spelling of 217226016 in words is "two hundred seventeen million, two hundred twenty-six thousand, sixteen".