221350590 has 64 divisors (see below), whose sum is σ = 596185920. Its totient is φ = 58435200.

The previous prime is 221350583. The next prime is 221350603. The reversal of 221350590 is 95053122.

221350590 is a `hidden beast` number, since 2 + 21 + 3 + 50 + 590 = 666.

221350590 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23212 + ... + 31328.

It is an arithmetic number, because the mean of its divisors is an integer number (9315405).

Almost surely, 2^221350590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221350590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298092960).

221350590 is an abundant number, since it is smaller than the sum of its proper divisors (374835330).

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

221350590 is a wasteful number, since it uses less digits than its factorization.

221350590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8234 (or 8228 counting only the distinct ones).

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

The square root of 221350590 is about 14877.8556922696. The cubic root of 221350590 is about 604.9138961769.

The spelling of 221350590 in words is "two hundred twenty-one million, three hundred fifty thousand, five hundred ninety".