221950350 has 72 divisors (see below), whose sum is σ = 599963832. Its totient is φ = 58824000.

The previous prime is 221950327. The next prime is 221950361. The reversal of 221950350 is 53059122.

221950350 is a `hidden beast` number, since 221 + 95 + 0 + 350 = 666.

221950350 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76425 + ... + 79275.

It is an arithmetic number, because the mean of its divisors is an integer number (8332831).

Almost surely, 2^221950350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221950350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299981916).

221950350 is an abundant number, since it is smaller than the sum of its proper divisors (378013482).

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

221950350 is a wasteful number, since it uses less digits than its factorization.

221950350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 221950350 is about 14897.9981876761. The cubic root of 221950350 is about 605.4597511684.

The spelling of 221950350 in words is "two hundred twenty-one million, nine hundred fifty thousand, three hundred fifty".