219989952 has 224 divisors, whose sum is σ = 796544000. Its totient is φ = 57977856.

The previous prime is 219989951. The next prime is 219989971. The reversal of 219989952 is 259989912.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1049760) is a multiple of the sum of its prime factors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219989951) 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 31 ways as a sum of consecutive naturals, for example, 156549 + ... + 157947.

It is an arithmetic number, because the mean of its divisors is an integer number (3556000).

Almost surely, 2^219989952 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 219989952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398272000).

219989952 is an abundant number, since it is smaller than the sum of its proper divisors (576554048).

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

219989952 is a wasteful number, since it uses less digits than its factorization.

219989952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1424 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The square root of 219989952 is about 14832.0582523128. The cubic root of 219989952 is about 603.6718829528.

The spelling of 219989952 in words is "two hundred nineteen million, nine hundred eighty-nine thousand, nine hundred fifty-two".