221546125 has 32 divisors (see below), whose sum is σ = 295278048. Its totient is φ = 165376000.

The previous prime is 221546111. The next prime is 221546131. The reversal of 221546125 is 521645122.

It can be written as a sum of positive squares in 16 ways, for example, as 188403076 + 33143049 = 13726^2 + 5757^2 .

It is not a de Polignac number, because 221546125 - 2⁵ = 221546093 is a prime.

It is a super-3 number, since 3×221546125³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221546093 and 221546102.

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 31 ways as a sum of consecutive naturals, for example, 290745 + ... + 291505.

It is an arithmetic number, because the mean of its divisors is an integer number (9227439).

Almost surely, 2^221546125 is an apocalyptic number.

221546125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221546125 is a deficient number, since it is larger than the sum of its proper divisors (73731923).

221546125 is a wasteful number, since it uses less digits than its factorization.

221546125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 920 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 221546125 is about 14884.4255851544. The cubic root of 221546125 is about 605.0919651651.

The spelling of 221546125 in words is "two hundred twenty-one million, five hundred forty-six thousand, one hundred twenty-five".