221055417 has 24 divisors (see below), whose sum is σ = 348816000. Its totient is φ = 133786080.

The previous prime is 221055409. The next prime is 221055431. The reversal of 221055417 is 714550122.

221055417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221055417 - 2³ = 221055409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221055467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109584 + ... + 111582.

It is an arithmetic number, because the mean of its divisors is an integer number (14534000).

Almost surely, 2^221055417 is an apocalyptic number.

It is an amenable number.

221055417 is a deficient number, since it is larger than the sum of its proper divisors (127760583).

221055417 is a wasteful number, since it uses less digits than its factorization.

221055417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 221055417 is about 14867.9325059001. The cubic root of 221055417 is about 604.6448905296.

The spelling of 221055417 in words is "two hundred twenty-one million, fifty-five thousand, four hundred seventeen".