219921696 has 96 divisors (see below), whose sum is σ = 644212800. Its totient is φ = 72990720.

The previous prime is 219921683. The next prime is 219921731. The reversal of 219921696 is 696129912.

219921696 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285600 + ... + 286368.

It is an arithmetic number, because the mean of its divisors is an integer number (6710550).

Almost surely, 2^219921696 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 219921696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322106400).

219921696 is an abundant number, since it is smaller than the sum of its proper divisors (424291104).

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

219921696 is a wasteful number, since it uses less digits than its factorization.

219921696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1105 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 219921696 is about 14829.7571119692. The cubic root of 219921696 is about 603.6094429946.

The spelling of 219921696 in words is "two hundred nineteen million, nine hundred twenty-one thousand, six hundred ninety-six".