219242112 has 64 divisors (see below), whose sum is σ = 592293600. Its totient is φ = 71834624.

The previous prime is 219242077. The next prime is 219242119. The reversal of 219242112 is 211242912.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (219242119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17818 + ... + 27494.

Almost surely, 2^219242112 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 219242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296146800).

219242112 is an abundant number, since it is smaller than the sum of its proper divisors (373051488).

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

219242112 is an equidigital number, since it uses as much as digits as its factorization.

219242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9753 (or 9741 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 219242112 is about 14806.8265337310. The cubic root of 219242112 is about 602.9870599986.

The spelling of 219242112 in words is "two hundred nineteen million, two hundred forty-two thousand, one hundred twelve".