219280096 has 72 divisors (see below), whose sum is σ = 507192840. Its totient is φ = 93042432.

The previous prime is 219280067. The next prime is 219280097. The reversal of 219280096 is 690082912.

219280096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219280097) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 170271 + ... + 171553.

It is an arithmetic number, because the mean of its divisors is an integer number (7044345).

Almost surely, 2^219280096 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 219280096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253596420).

219280096 is an abundant number, since it is smaller than the sum of its proper divisors (287912744).

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

219280096 is a wasteful number, since it uses less digits than its factorization.

219280096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 219280096 is about 14808.1091297978. The cubic root of 219280096 is about 603.0218807693.

The spelling of 219280096 in words is "two hundred nineteen million, two hundred eighty thousand, ninety-six".