219981216 has 192 divisors, whose sum is σ = 719712000. Its totient is φ = 57627648.

The previous prime is 219981187. The next prime is 219981227. The reversal of 219981216 is 612189912.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1476310 + ... + 1476458.

It is an arithmetic number, because the mean of its divisors is an integer number (3748500).

Almost surely, 2^219981216 is an apocalyptic number.

219981216 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 219981216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359856000).

219981216 is an abundant number, since it is smaller than the sum of its proper divisors (499730784).

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

219981216 is a wasteful number, since it uses less digits than its factorization.

219981216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 174 counting only the distinct ones).

The product of its digits is 15552, while the sum is 39.

The square root of 219981216 is about 14831.7637521638. The cubic root of 219981216 is about 603.6638920615.

The spelling of 219981216 in words is "two hundred nineteen million, nine hundred eighty-one thousand, two hundred sixteen".