219231072 has 72 divisors (see below), whose sum is σ = 633709440. Its totient is φ = 71873280.

The previous prime is 219231049. The next prime is 219231073. The reversal of 219231072 is 270132912.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219231073) 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 11 ways as a sum of consecutive naturals, for example, 11329 + ... + 23807.

It is an arithmetic number, because the mean of its divisors is an integer number (8801520).

Almost surely, 2^219231072 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 219231072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316854720).

219231072 is an abundant number, since it is smaller than the sum of its proper divisors (414478368).

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

219231072 is a wasteful number, since it uses less digits than its factorization.

219231072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12556 (or 12545 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 219231072 is about 14806.4537280201. The cubic root of 219231072 is about 602.9769386327.

Adding to 219231072 its reverse (270132912), we get a palindrome (489363984).

The spelling of 219231072 in words is "two hundred nineteen million, two hundred thirty-one thousand, seventy-two".