221824057 has 32 divisors (see below), whose sum is σ = 283143168. Its totient is φ = 169114176.

The previous prime is 221824037. The next prime is 221824061. The reversal of 221824057 is 750428122.

It is a happy number.

It is not a de Polignac number, because 221824057 - 2¹⁹ = 221299769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221824037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324438 + ... + 325120.

It is an arithmetic number, because the mean of its divisors is an integer number (8848224).

Almost surely, 2^221824057 is an apocalyptic number.

It is an amenable number.

221824057 is a deficient number, since it is larger than the sum of its proper divisors (61319111).

221824057 is a wasteful number, since it uses less digits than its factorization.

221824057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829.

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 221824057 is about 14893.7589949616. The cubic root of 221824057 is about 605.3448908911.

The spelling of 221824057 in words is "two hundred twenty-one million, eight hundred twenty-four thousand, fifty-seven".