221380632 has 72 divisors (see below), whose sum is σ = 659060220. Its totient is φ = 67082400.

The previous prime is 221380631. The next prime is 221380741. The reversal of 221380632 is 236083122.

221380632 is a `hidden beast` number, since 2 + 21 + 3 + 8 + 0 + 632 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 221380596 and 221380605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221380631) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3994 + ... + 21417.

Almost surely, 2^221380632 is an apocalyptic number.

221380632 is a gapful number since it is divisible by the number (22) 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 221380632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329530110).

221380632 is an abundant number, since it is smaller than the sum of its proper divisors (437679588).

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

221380632 is a wasteful number, since it uses less digits than its factorization.

221380632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25445 (or 25427 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 221380632 is about 14878.8652793148. The cubic root of 221380632 is about 604.9412615150.

The spelling of 221380632 in words is "two hundred twenty-one million, three hundred eighty thousand, six hundred thirty-two".