220263681 has 24 divisors (see below), whose sum is σ = 323668800. Its totient is φ = 133138720.

The previous prime is 220263661. The next prime is 220263727. The reversal of 220263681 is 186362022.

It is not a de Polignac number, because 220263681 - 2²⁶ = 153154817 is a prime.

It is a super-2 number, since 2×220263681² = 97032178335339522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220263661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216931 + ... + 217943.

It is an arithmetic number, because the mean of its divisors is an integer number (13486200).

Almost surely, 2^220263681 is an apocalyptic number.

It is an amenable number.

220263681 is a deficient number, since it is larger than the sum of its proper divisors (103405119).

220263681 is a wasteful number, since it uses less digits than its factorization.

220263681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 220263681 is about 14841.2829970997. The cubic root of 220263681 is about 603.9221580385.

It can be divided in two parts, 220 and 263681, that added together give a triangular number (263901 = T₇₂₆).

The spelling of 220263681 in words is "two hundred twenty million, two hundred sixty-three thousand, six hundred eighty-one".