219224064 has 96 divisors (see below), whose sum is σ = 603832320. Its totient is φ = 70656000.

The previous prime is 219224053. The next prime is 219224077. The reversal of 219224064 is 460422912.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189889 + ... + 191039.

It is an arithmetic number, because the mean of its divisors is an integer number (6289920).

Almost surely, 2^219224064 is an apocalyptic number.

219224064 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 219224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301916160).

219224064 is an abundant number, since it is smaller than the sum of its proper divisors (384608256).

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

219224064 is a wasteful number, since it uses less digits than its factorization.

219224064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 219224064 is about 14806.2170725679. The cubic root of 219224064 is about 602.9705135894.

Adding to 219224064 its reverse (460422912), we get a palindrome (679646976).

The spelling of 219224064 in words is "two hundred nineteen million, two hundred twenty-four thousand, sixty-four".