220431040 has 56 divisors (see below), whose sum is σ = 527425920. Its totient is φ = 87748608.

The previous prime is 220431037. The next prime is 220431053. The reversal of 220431040 is 40134022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69816 + ... + 72904.

It is an arithmetic number, because the mean of its divisors is an integer number (9418320).

Almost surely, 2^220431040 is an apocalyptic number.

220431040 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 220431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263712960).

220431040 is an abundant number, since it is smaller than the sum of its proper divisors (306994880).

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

220431040 is a wasteful number, since it uses less digits than its factorization.

220431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3329 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 220431040 is about 14846.9202193586. The cubic root of 220431040 is about 604.0750750942.

Adding to 220431040 its reverse (40134022), we get a palindrome (260565062).

The spelling of 220431040 in words is "two hundred twenty million, four hundred thirty-one thousand, forty".