221254164 has 36 divisors (see below), whose sum is σ = 588719040. Its totient is φ = 69869520.

The previous prime is 221254157. The next prime is 221254169. The reversal of 221254164 is 461452122.

221254164 is a `hidden beast` number, since 221 + 25 + 416 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221254169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161052 + ... + 162419.

Almost surely, 2^221254164 is an apocalyptic number.

It is an amenable number.

221254164 is an abundant number, since it is smaller than the sum of its proper divisors (367464876).

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

221254164 is a wasteful number, since it uses less digits than its factorization.

221254164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323500 (or 323495 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 221254164 is about 14874.6147513137. The cubic root of 221254164 is about 604.8260447443.

The spelling of 221254164 in words is "two hundred twenty-one million, two hundred fifty-four thousand, one hundred sixty-four".