221870016 has 140 divisors (see below), whose sum is σ = 664837888. Its totient is φ = 73156608.

The previous prime is 221869997. The next prime is 221870023. The reversal of 221870016 is 610078122.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 658200 + ... + 658536.

Almost surely, 2^221870016 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 221870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332418944).

221870016 is an abundant number, since it is smaller than the sum of its proper divisors (442967872).

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

221870016 is a wasteful number, since it uses less digits than its factorization.

221870016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 221870016 is about 14895.3018096311. The cubic root of 221870016 is about 605.3866944794.

The spelling of 221870016 in words is "two hundred twenty-one million, eight hundred seventy thousand, sixteen".