221620512 has 48 divisors (see below), whose sum is σ = 583813440. Its totient is φ = 73612032.

The previous prime is 221620501. The next prime is 221620543. The reversal of 221620512 is 215026122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24189 + ... + 32067.

It is an arithmetic number, because the mean of its divisors is an integer number (12162780).

Almost surely, 2^221620512 is an apocalyptic number.

It is an amenable number.

221620512 is an abundant number, since it is smaller than the sum of its proper divisors (362192928).

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

221620512 is a wasteful number, since it uses less digits than its factorization.

221620512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8185 (or 8177 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 221620512 is about 14886.9241954139. The cubic root of 221620512 is about 605.1596800925.

Adding to 221620512 its reverse (215026122), we get a palindrome (436646634).

The spelling of 221620512 in words is "two hundred twenty-one million, six hundred twenty thousand, five hundred twelve".