219008020 has 96 divisors (see below), whose sum is σ = 581769216. Its totient is φ = 67267200.

The previous prime is 219007981. The next prime is 219008021. The reversal of 219008020 is 20800912.

219008020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 219007982 and 219008000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219008021) 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, 108339 + ... + 110341.

It is an arithmetic number, because the mean of its divisors is an integer number (6060096).

Almost surely, 2^219008020 is an apocalyptic number.

219008020 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 219008020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290884608).

219008020 is an abundant number, since it is smaller than the sum of its proper divisors (362761196).

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

219008020 is a wasteful number, since it uses less digits than its factorization.

219008020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 219008020 is about 14798.9195551567. The cubic root of 219008020 is about 602.7723738786.

Adding to 219008020 its reverse (20800912), we get a palindrome (239808932).

The spelling of 219008020 in words is "two hundred nineteen million, eight thousand, twenty".