221150144 has 56 divisors (see below), whose sum is σ = 467642448. Its totient is φ = 103403520.

The previous prime is 221150141. The next prime is 221150159. The reversal of 221150144 is 441051122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221150141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196367 + ... + 197489.

It is an arithmetic number, because the mean of its divisors is an integer number (8350758).

Almost surely, 2^221150144 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 221150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233821224).

221150144 is an abundant number, since it is smaller than the sum of its proper divisors (246492304).

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

221150144 is a wasteful number, since it uses less digits than its factorization.

221150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 221150144 is about 14871.1177791046. The cubic root of 221150144 is about 604.7312459753.

The spelling of 221150144 in words is "two hundred twenty-one million, one hundred fifty thousand, one hundred forty-four".