220431240 has 128 divisors (see below), whose sum is σ = 748828800. Its totient is φ = 57657600.

The previous prime is 220431229. The next prime is 220431259. The reversal of 220431240 is 42134022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 55315 + ... + 59165.

It is an arithmetic number, because the mean of its divisors is an integer number (5850225).

Almost surely, 2^220431240 is an apocalyptic number.

220431240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374414400).

220431240 is an abundant number, since it is smaller than the sum of its proper divisors (528397560).

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

220431240 is a wasteful number, since it uses less digits than its factorization.

220431240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220431240 is about 14846.9269547607. The cubic root of 220431240 is about 604.0752577892.

Adding to 220431240 its reverse (42134022), we get a palindrome (262565262).

The spelling of 220431240 in words is "two hundred twenty million, four hundred thirty-one thousand, two hundred forty".