219216680 has 64 divisors (see below), whose sum is σ = 541814400. Its totient is φ = 79453440.

The previous prime is 219216677. The next prime is 219216691. The reversal of 219216680 is 86612912.

219216680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 219216680.

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 15 ways as a sum of consecutive naturals, for example, 11210 + ... + 23750.

It is an arithmetic number, because the mean of its divisors is an integer number (8465850).

Almost surely, 2^219216680 is an apocalyptic number.

219216680 is a gapful number since it is divisible by the number (20) 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 219216680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270907200).

219216680 is an abundant number, since it is smaller than the sum of its proper divisors (322597720).

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

219216680 is a wasteful number, since it uses less digits than its factorization.

219216680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12594 (or 12590 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 219216680 is about 14805.9677157557. The cubic root of 219216680 is about 602.9637436753.

The spelling of 219216680 in words is "two hundred nineteen million, two hundred sixteen thousand, six hundred eighty".