219421248 has 112 divisors (see below), whose sum is σ = 606454464. Its totient is φ = 69949440.

The previous prime is 219421199. The next prime is 219421249. The reversal of 219421248 is 842124912.

It is not an unprimeable number, because it can be changed into a prime (219421249) 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, 475738 + ... + 476198.

It is an arithmetic number, because the mean of its divisors is an integer number (5414772).

Almost surely, 2^219421248 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 219421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303227232).

219421248 is an abundant number, since it is smaller than the sum of its proper divisors (387033216).

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

219421248 is a wasteful number, since it uses less digits than its factorization.

219421248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 570 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 219421248 is about 14812.8744003316. The cubic root of 219421248 is about 603.1512426964.

The spelling of 219421248 in words is "two hundred nineteen million, four hundred twenty-one thousand, two hundred forty-eight".