221066496 has 180 divisors, whose sum is σ = 753843552. Its totient is φ = 63120384.

The previous prime is 221066473. The next prime is 221066509. The reversal of 221066496 is 694660122.

221066496 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 6 + 649 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 221066496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144391 + ... + 145913.

Almost surely, 2^221066496 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 221066496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376921776).

221066496 is an abundant number, since it is smaller than the sum of its proper divisors (532777056).

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

221066496 is an equidigital number, since it uses as much as digits as its factorization.

221066496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 221066496 is about 14868.3050816157. The cubic root of 221066496 is about 604.6549916903.

The spelling of 221066496 in words is "two hundred twenty-one million, sixty-six thousand, four hundred ninety-six".