221266144 has 48 divisors (see below), whose sum is σ = 477123696. Its totient is φ = 100172800.

The previous prime is 221266121. The next prime is 221266151. The reversal of 221266144 is 441662122.

It is a super-3 number, since 3×221266144³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97794 + ... + 100030.

It is an arithmetic number, because the mean of its divisors is an integer number (9940077).

Almost surely, 2^221266144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221266144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238561848).

221266144 is an abundant number, since it is smaller than the sum of its proper divisors (255857552).

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

221266144 is a wasteful number, since it uses less digits than its factorization.

221266144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2531 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 221266144 is about 14875.0174453679. The cubic root of 221266144 is about 604.8369608255.

The spelling of 221266144 in words is "two hundred twenty-one million, two hundred sixty-six thousand, one hundred forty-four".