219856416 has 96 divisors (see below), whose sum is σ = 627419520. Its totient is φ = 67006464.

The previous prime is 219856409. The next prime is 219856457. The reversal of 219856416 is 614658912.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 140245 + ... + 141803.

It is an arithmetic number, because the mean of its divisors is an integer number (6535620).

Almost surely, 2^219856416 is an apocalyptic number.

219856416 is a gapful number since it is divisible by the number (26) 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 219856416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760).

219856416 is an abundant number, since it is smaller than the sum of its proper divisors (407563104).

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

219856416 is a wasteful number, since it uses less digits than its factorization.

219856416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1690 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 219856416 is about 14827.5559685337. Note that the first 3 decimals coincide. The cubic root of 219856416 is about 603.5497133657.

The spelling of 219856416 in words is "two hundred nineteen million, eight hundred fifty-six thousand, four hundred sixteen".