221823150 has 48 divisors (see below), whose sum is σ = 554131200. Its totient is φ = 58721760.

The previous prime is 221823149. The next prime is 221823163. The reversal of 221823150 is 51328122.

It is a self number, because there is not a number n which added to its sum of digits gives 221823150.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15531 + ... + 26169.

It is an arithmetic number, because the mean of its divisors is an integer number (11544400).

Almost surely, 2^221823150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221823150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277065600).

221823150 is an abundant number, since it is smaller than the sum of its proper divisors (332308050).

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

221823150 is a wasteful number, since it uses less digits than its factorization.

221823150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10793 (or 10788 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 221823150 is about 14893.7285459350. The cubic root of 221823150 is about 605.3440658400.

The spelling of 221823150 in words is "two hundred twenty-one million, eight hundred twenty-three thousand, one hundred fifty".