219133420 has 144 divisors (see below), whose sum is σ = 549126144. Its totient is φ = 73180800.

The previous prime is 219133393. The next prime is 219133423. The reversal of 219133420 is 24331912.

It is not an unprimeable number, because it can be changed into a prime (219133423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1725397 + ... + 1725523.

It is an arithmetic number, because the mean of its divisors is an integer number (3813376).

Almost surely, 2^219133420 is an apocalyptic number.

219133420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274563072).

219133420 is an abundant number, since it is smaller than the sum of its proper divisors (329992724).

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

219133420 is a wasteful number, since it uses less digits than its factorization.

219133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 219133420 is about 14803.1557446377. The cubic root of 219133420 is about 602.8873974191.

The spelling of 219133420 in words is "two hundred nineteen million, one hundred thirty-three thousand, four hundred twenty".