221077116 has 72 divisors (see below), whose sum is σ = 604762704. Its totient is φ = 67691520.

The previous prime is 221077099. The next prime is 221077117. The reversal of 221077116 is 611770122.

It is a self number, because there is not a number n which added to its sum of digits gives 221077116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221077117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105196 + ... + 107276.

It is an arithmetic number, because the mean of its divisors is an integer number (8399482).

Almost surely, 2^221077116 is an apocalyptic number.

221077116 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 221077116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302381352).

221077116 is an abundant number, since it is smaller than the sum of its proper divisors (383685588).

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

221077116 is a wasteful number, since it uses less digits than its factorization.

221077116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 221077116 is about 14868.6622128556. The cubic root of 221077116 is about 604.6646740457.

The spelling of 221077116 in words is "two hundred twenty-one million, seventy-seven thousand, one hundred sixteen".