219220992 has 132 divisors (see below), whose sum is σ = 657185256. Its totient is φ = 72990720.

The previous prime is 219220979. The next prime is 219220999. The reversal of 219220992 is 299022912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (219220999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248392 + ... + 249272.

Almost surely, 2^219220992 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 219220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328592628).

219220992 is an abundant number, since it is smaller than the sum of its proper divisors (437964264).

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

219220992 is an frugal number, since it uses more digits than its factorization.

219220992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 219220992 is about 14806.1133319990. The cubic root of 219220992 is about 602.9676970889.

The spelling of 219220992 in words is "two hundred nineteen million, two hundred twenty thousand, nine hundred ninety-two".