221065504 has 48 divisors (see below), whose sum is σ = 476007840. Its totient is φ = 100226560.

The previous prime is 221065469. The next prime is 221065517. The reversal of 221065504 is 405560122.

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 7 ways as a sum of consecutive naturals, for example, 231492 + ... + 232444.

It is an arithmetic number, because the mean of its divisors is an integer number (9916830).

Almost surely, 2^221065504 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 221065504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238003920).

221065504 is an abundant number, since it is smaller than the sum of its proper divisors (254942336).

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

221065504 is a wasteful number, since it uses less digits than its factorization.

221065504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 221065504 is about 14868.2717220261. The cubic root of 221065504 is about 604.6540872585.

The spelling of 221065504 in words is "two hundred twenty-one million, sixty-five thousand, five hundred four".