216224064 has 252 divisors, whose sum is σ = 740810304. Its totient is φ = 60092928.

The previous prime is 216224059. The next prime is 216224069. The reversal of 216224064 is 460422612.

It is an interprime number because it is at equal distance from previous prime (216224059) and next prime (216224069).

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216224069) 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 35 ways as a sum of consecutive naturals, for example, 1326447 + ... + 1326609.

Almost surely, 2^216224064 is an apocalyptic number.

216224064 is a gapful number since it is divisible by the number (24) 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 216224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370405152).

216224064 is an abundant number, since it is smaller than the sum of its proper divisors (524586240).

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

216224064 is a wasteful number, since it uses less digits than its factorization.

216224064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 216224064 is about 14704.5592929540. The cubic root of 216224064 is about 600.2073949706.

Adding to 216224064 its reverse (460422612), we get a palindrome (676646676).

The spelling of 216224064 in words is "two hundred sixteen million, two hundred twenty-four thousand, sixty-four".