219530080 has 192 divisors, whose sum is σ = 656667648. Its totient is φ = 67368960.

The previous prime is 219530071. The next prime is 219530089. The reversal of 219530080 is 80035912.

It is an interprime number because it is at equal distance from previous prime (219530071) and next prime (219530089).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219530089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1268874 + ... + 1269046.

It is an arithmetic number, because the mean of its divisors is an integer number (3420144).

Almost surely, 2^219530080 is an apocalyptic number.

219530080 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 219530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328333824).

219530080 is an abundant number, since it is smaller than the sum of its proper divisors (437137568).

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

219530080 is a wasteful number, since it uses less digits than its factorization.

219530080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 219530080 is about 14816.5475060825. The cubic root of 219530080 is about 603.2509463591.

Adding to 219530080 its reverse (80035912), we get a palindrome (299565992).

The spelling of 219530080 in words is "two hundred nineteen million, five hundred thirty thousand, eighty".