221533290 has 96 divisors (see below), whose sum is σ = 665361216. Its totient is φ = 50542080.

The previous prime is 221533283. The next prime is 221533303. The reversal of 221533290 is 92335122.

221533290 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 10249 + ... + 23411.

It is an arithmetic number, because the mean of its divisors is an integer number (6930846).

Almost surely, 2^221533290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221533290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332680608).

221533290 is an abundant number, since it is smaller than the sum of its proper divisors (443827926).

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

221533290 is a wasteful number, since it uses less digits than its factorization.

221533290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13204 (or 13201 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 221533290 is about 14883.9944235410. The cubic root of 221533290 is about 605.0802798553.

The spelling of 221533290 in words is "two hundred twenty-one million, five hundred thirty-three thousand, two hundred ninety".