219973104 has 240 divisors, whose sum is σ = 718882560. Its totient is φ = 64247040.

The previous prime is 219973097. The next prime is 219973109. The reversal of 219973104 is 401379912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219973109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1679119 + ... + 1679249.

It is an arithmetic number, because the mean of its divisors is an integer number (2995344).

Almost surely, 2^219973104 is an apocalyptic number.

219973104 is a gapful number since it is divisible by the number (24) 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 219973104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359441280).

219973104 is an abundant number, since it is smaller than the sum of its proper divisors (498909456).

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

219973104 is a wasteful number, since it uses less digits than its factorization.

219973104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 219973104 is about 14831.4902825036. The cubic root of 219973104 is about 603.6564717588.

The spelling of 219973104 in words is "two hundred nineteen million, nine hundred seventy-three thousand, one hundred four".