221254160 has 20 divisors (see below), whose sum is σ = 514416108. Its totient is φ = 88501632.

The previous prime is 221254157. The next prime is 221254169. The reversal of 221254160 is 61452122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 134838544 + 86415616 = 11612^2 + 9296^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 1382759 + ... + 1382918.

Almost surely, 2^221254160 is an apocalyptic number.

221254160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221254160 is an abundant number, since it is smaller than the sum of its proper divisors (293161948).

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

221254160 is a wasteful number, since it uses less digits than its factorization.

221254160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765690 (or 2765684 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 221254160 is about 14874.6146168565. The cubic root of 221254160 is about 604.8260410995.

The spelling of 221254160 in words is "two hundred twenty-one million, two hundred fifty-four thousand, one hundred sixty".