219764216 has 48 divisors (see below), whose sum is σ = 482238000. Its totient is φ = 93851856.

The previous prime is 219764213. The next prime is 219764231. The reversal of 219764216 is 612467912.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a self number, because there is not a number n which added to its sum of digits gives 219764216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219764213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 776411 + ... + 776693.

It is an arithmetic number, because the mean of its divisors is an integer number (10046625).

Almost surely, 2^219764216 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 219764216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241119000).

219764216 is an abundant number, since it is smaller than the sum of its proper divisors (262473784).

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

219764216 is an frugal number, since it uses more digits than its factorization.

219764216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 292 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 219764216 is about 14824.4465663984. The cubic root of 219764216 is about 603.4653324393.

The spelling of 219764216 in words is "two hundred nineteen million, seven hundred sixty-four thousand, two hundred sixteen".