221628946 has 32 divisors (see below), whose sum is σ = 418608000. Its totient is φ = 85488000.

The previous prime is 221628941. The next prime is 221628959. The reversal of 221628946 is 649826122.

It is a junction number, because it is equal to n+sod(n) for n = 221628899 and 221628908.

It is not an unprimeable number, because it can be changed into a prime (221628941) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8430 + ... + 22678.

It is an arithmetic number, because the mean of its divisors is an integer number (13081500).

Almost surely, 2^221628946 is an apocalyptic number.

221628946 is a deficient number, since it is larger than the sum of its proper divisors (196979054).

221628946 is a wasteful number, since it uses less digits than its factorization.

221628946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14370.

The product of its digits is 82944, while the sum is 40.

The square root of 221628946 is about 14887.2074614415. The cubic root of 221628946 is about 605.1673566563.

The spelling of 221628946 in words is "two hundred twenty-one million, six hundred twenty-eight thousand, nine hundred forty-six".