221500608 has 112 divisors (see below), whose sum is σ = 692993280. Its totient is φ = 61092864.

The previous prime is 221500597. The next prime is 221500639. The reversal of 221500608 is 806005122.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 36135 + ... + 41817.

It is an arithmetic number, because the mean of its divisors is an integer number (6187440).

Almost surely, 2^221500608 is an apocalyptic number.

221500608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221500608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346496640).

221500608 is an abundant number, since it is smaller than the sum of its proper divisors (471492672).

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

221500608 is a wasteful number, since it uses less digits than its factorization.

221500608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734 (or 5724 counting only the distinct ones).

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

The square root of 221500608 is about 14882.8964922827. The cubic root of 221500608 is about 605.0505232948.

The spelling of 221500608 in words is "two hundred twenty-one million, five hundred thousand, six hundred eight".