220009040 has 40 divisors (see below), whose sum is σ = 512277480. Its totient is φ = 87873536.

The previous prime is 220009033. The next prime is 220009043. The reversal of 220009040 is 40900022.

It can be written as a sum of positive squares in 4 ways, for example, as 72046144 + 147962896 = 8488^2 + 12164^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220009043) 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 7 ways as a sum of consecutive naturals, for example, 66956 + ... + 70164.

It is an arithmetic number, because the mean of its divisors is an integer number (12806937).

Almost surely, 2^220009040 is an apocalyptic number.

220009040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220009040 is an abundant number, since it is smaller than the sum of its proper divisors (292268440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220009040 is a wasteful number, since it uses less digits than its factorization.

220009040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 220009040 is about 14832.7017093987. The cubic root of 220009040 is about 603.6893421679.

Adding to 220009040 its reverse (40900022), we get a palindrome (260909062).

The spelling of 220009040 in words is "two hundred twenty million, nine thousand, forty".