220946825 has 12 divisors (see below), whose sum is σ = 298881168. Its totient is φ = 160688400.

The previous prime is 220946813. The next prime is 220946833. The reversal of 220946825 is 528649022.

It is a de Polignac number, because none of the positive numbers 2^k-220946825 is a prime.

It is a Duffinian 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 11 ways as a sum of consecutive naturals, for example, 401447 + ... + 401996.

It is an arithmetic number, because the mean of its divisors is an integer number (24906764).

Almost surely, 2^220946825 is an apocalyptic number.

220946825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

220946825 is a deficient number, since it is larger than the sum of its proper divisors (77934343).

220946825 is a wasteful number, since it uses less digits than its factorization.

220946825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803464 (or 803459 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 220946825 is about 14864.2801709333. The cubic root of 220946825 is about 604.5458650554.

The spelling of 220946825 in words is "two hundred twenty million, nine hundred forty-six thousand, eight hundred twenty-five".