221639040 has 384 divisors, whose sum is σ = 916531200. Its totient is φ = 48254976.

The previous prime is 221639039. The next prime is 221639069. The reversal of 221639040 is 40936122.

221639040 is a `hidden beast` number, since 2 + 21 + 639 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 221638995 and 221639013.

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 47 ways as a sum of consecutive naturals, for example, 927241 + ... + 927479.

It is an arithmetic number, because the mean of its divisors is an integer number (2386800).

Almost surely, 2^221639040 is an apocalyptic number.

221639040 is a gapful number since it is divisible by the number (20) 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 221639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458265600).

221639040 is an abundant number, since it is smaller than the sum of its proper divisors (694892160).

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

221639040 is a wasteful number, since it uses less digits than its factorization.

221639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 221639040 is about 14887.5464734791. The cubic root of 221639040 is about 605.1765438837.

The spelling of 221639040 in words is "two hundred twenty-one million, six hundred thirty-nine thousand, forty".