221500512 has 72 divisors (see below), whose sum is σ = 631547280. Its totient is φ = 73639680.

The previous prime is 221500501. The next prime is 221500571. The reversal of 221500512 is 215005122.

221500512 is a `hidden beast` number, since 2 + 2 + 150 + 0 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 145837 + ... + 147347.

It is an arithmetic number, because the mean of its divisors is an integer number (8771490).

Almost surely, 2^221500512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221500512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315773640).

221500512 is an abundant number, since it is smaller than the sum of its proper divisors (410046768).

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

221500512 is a wasteful number, since it uses less digits than its factorization.

221500512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 221500512 is about 14882.8932671037. The cubic root of 221500512 is about 605.0504358836.

Adding to 221500512 its reverse (215005122), we get a palindrome (436505634).

The spelling of 221500512 in words is "two hundred twenty-one million, five hundred thousand, five hundred twelve".