219421944 has 192 divisors, whose sum is σ = 709862400. Its totient is φ = 59933952.

The previous prime is 219421933. The next prime is 219421957. The reversal of 219421944 is 449124912.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 219421899 and 219421908.

It is a congruent number.

It is an unprimeable number.

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, 1397514 + ... + 1397670.

It is an arithmetic number, because the mean of its divisors is an integer number (3697200).

Almost surely, 2^219421944 is an apocalyptic number.

219421944 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 219421944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354931200).

219421944 is an abundant number, since it is smaller than the sum of its proper divisors (490440456).

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

219421944 is a wasteful number, since it uses less digits than its factorization.

219421944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 219421944 is about 14812.8978933901. The cubic root of 219421944 is about 603.1518804238.

The spelling of 219421944 in words is "two hundred nineteen million, four hundred twenty-one thousand, nine hundred forty-four".