221822016 has 112 divisors (see below), whose sum is σ = 636836928. Its totient is φ = 67737600.

The previous prime is 221821969. The next prime is 221822033. The reversal of 221822016 is 610228122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451531 + ... + 452021.

It is an arithmetic number, because the mean of its divisors is an integer number (5686044).

Almost surely, 2^221822016 is an apocalyptic number.

221822016 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 221822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318418464).

221822016 is an abundant number, since it is smaller than the sum of its proper divisors (415014912).

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

221822016 is a wasteful number, since it uses less digits than its factorization.

221822016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 221822016 is about 14893.6904761714. The cubic root of 221822016 is about 605.3430342955.

The spelling of 221822016 in words is "two hundred twenty-one million, eight hundred twenty-two thousand, sixteen".