220224609 has 64 divisors (see below), whose sum is σ = 376197120. Its totient is φ = 126023040.

The previous prime is 220224607. The next prime is 220224643. The reversal of 220224609 is 906422022.

It is not a de Polignac number, because 220224609 - 2¹ = 220224607 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220224607) 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 63 ways as a sum of consecutive naturals, for example, 703437 + ... + 703749.

It is an arithmetic number, because the mean of its divisors is an integer number (5878080).

Almost surely, 2^220224609 is an apocalyptic number.

It is an amenable number.

220224609 is a deficient number, since it is larger than the sum of its proper divisors (155972511).

220224609 is a wasteful number, since it uses less digits than its factorization.

220224609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 220224609 is about 14839.9666104746. The cubic root of 220224609 is about 603.8864465345.

The spelling of 220224609 in words is "two hundred twenty million, two hundred twenty-four thousand, six hundred nine".