221608632 has 64 divisors (see below), whose sum is σ = 634982400. Its totient is φ = 63135360.

The previous prime is 221608631. The next prime is 221608637. The reversal of 221608632 is 236806122.

It is a super-2 number, since 2×221608632² = 98220771553822848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221608632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221608631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63657 + ... + 67047.

It is an arithmetic number, because the mean of its divisors is an integer number (9921600).

Almost surely, 2^221608632 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 221608632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317491200).

221608632 is an abundant number, since it is smaller than the sum of its proper divisors (413373768).

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

221608632 is a wasteful number, since it uses less digits than its factorization.

221608632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 221608632 is about 14886.5251821908. The cubic root of 221608632 is about 605.1488666748.

The spelling of 221608632 in words is "two hundred twenty-one million, six hundred eight thousand, six hundred thirty-two".