221601648 has 40 divisors (see below), whose sum is σ = 573264400. Its totient is φ = 73764864.

The previous prime is 221601637. The next prime is 221601649. The reversal of 221601648 is 846106122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221601649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37008 + ... + 42576.

It is an arithmetic number, because the mean of its divisors is an integer number (14331610).

Almost surely, 2^221601648 is an apocalyptic number.

It is an amenable number.

221601648 is an abundant number, since it is smaller than the sum of its proper divisors (351662752).

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

221601648 is a wasteful number, since it uses less digits than its factorization.

221601648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409 (or 6403 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 221601648 is about 14886.2906057889. The cubic root of 221601648 is about 605.1425095156.

The spelling of 221601648 in words is "two hundred twenty-one million, six hundred one thousand, six hundred forty-eight".