219946056 has 192 divisors, whose sum is σ = 654998400. Its totient is φ = 61332480.

The previous prime is 219946049. The next prime is 219946117. The reversal of 219946056 is 650649912.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 219945999 and 219946017.

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 47 ways as a sum of consecutive naturals, for example, 2471260 + ... + 2471348.

It is an arithmetic number, because the mean of its divisors is an integer number (3411450).

Almost surely, 2^219946056 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 219946056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327499200).

219946056 is an abundant number, since it is smaller than the sum of its proper divisors (435052344).

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

219946056 is a wasteful number, since it uses less digits than its factorization.

219946056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 219946056 is about 14830.5784108375. The cubic root of 219946056 is about 603.6317287800.

The spelling of 219946056 in words is "two hundred nineteen million, nine hundred forty-six thousand, fifty-six".