219223680 has 128 divisors (see below), whose sum is σ = 752613120. Its totient is φ = 53956608.

The previous prime is 219223637. The next prime is 219223681. The reversal of 219223680 is 86322912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (219223681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20569 + ... + 29351.

It is an arithmetic number, because the mean of its divisors is an integer number (5879790).

Almost surely, 2^219223680 is an apocalyptic number.

219223680 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 219223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376306560).

219223680 is an abundant number, since it is smaller than the sum of its proper divisors (533389440).

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

219223680 is a wasteful number, since it uses less digits than its factorization.

219223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8818 (or 8806 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 219223680 is about 14806.2041050365. The cubic root of 219223680 is about 602.9701615283.

The spelling of 219223680 in words is "two hundred nineteen million, two hundred twenty-three thousand, six hundred eighty".