221516634 has 48 divisors (see below), whose sum is σ = 468395424. Its totient is φ = 69828000.

The previous prime is 221516629. The next prime is 221516653. The reversal of 221516634 is 436615122.

221516634 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 320229 + ... + 320919.

It is an arithmetic number, because the mean of its divisors is an integer number (9758238).

Almost surely, 2^221516634 is an apocalyptic number.

221516634 is an abundant number, since it is smaller than the sum of its proper divisors (246878790).

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

221516634 is a wasteful number, since it uses less digits than its factorization.

221516634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 820 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 221516634 is about 14883.4348858051. The cubic root of 221516634 is about 605.0651151371.

The spelling of 221516634 in words is "two hundred twenty-one million, five hundred sixteen thousand, six hundred thirty-four".