219197120 has 56 divisors (see below), whose sum is σ = 525408144. Its totient is φ = 87100416.

The previous prime is 219197119. The next prime is 219197149. The reversal of 219197120 is 21791912.

219197120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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, 48059 + ... + 52421.

Almost surely, 2^219197120 is an apocalyptic number.

219197120 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 219197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262704072).

219197120 is an abundant number, since it is smaller than the sum of its proper divisors (306211024).

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

219197120 is a wasteful number, since it uses less digits than its factorization.

219197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4537 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 32.

The square root of 219197120 is about 14805.3071565571. The cubic root of 219197120 is about 602.9458096360.

The spelling of 219197120 in words is "two hundred nineteen million, one hundred ninety-seven thousand, one hundred twenty".