220132305 has 24 divisors (see below), whose sum is σ = 386942400. Its totient is φ = 115748640.

The previous prime is 220132273. The next prime is 220132307. The reversal of 220132305 is 503231022.

It is not a de Polignac number, because 220132305 - 2⁵ = 220132273 is a prime.

It is a super-2 number, since 2×220132305² = 96916463409226050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220132307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31255 + ... + 37644.

It is an arithmetic number, because the mean of its divisors is an integer number (16122600).

Almost surely, 2^220132305 is an apocalyptic number.

It is an amenable number.

220132305 is a deficient number, since it is larger than the sum of its proper divisors (166810095).

220132305 is a wasteful number, since it uses less digits than its factorization.

220132305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68981 (or 68978 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 220132305 is about 14836.8563044871. The cubic root of 220132305 is about 603.8020646175.

Adding to 220132305 its reverse (503231022), we get a palindrome (723363327).

The spelling of 220132305 in words is "two hundred twenty million, one hundred thirty-two thousand, three hundred five".