220531400 has 48 divisors (see below), whose sum is σ = 514252800. Its totient is φ = 87951680.

The previous prime is 220531373. The next prime is 220531403. The reversal of 220531400 is 4135022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220531403) 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 11 ways as a sum of consecutive naturals, for example, 75161 + ... + 78039.

It is an arithmetic number, because the mean of its divisors is an integer number (10713600).

Almost surely, 2^220531400 is an apocalyptic number.

220531400 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 220531400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257126400).

220531400 is an abundant number, since it is smaller than the sum of its proper divisors (293721400).

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

220531400 is a wasteful number, since it uses less digits than its factorization.

220531400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 220531400 is about 14850.2996602762. The cubic root of 220531400 is about 604.1667375875.

Adding to 220531400 its reverse (4135022), we get a palindrome (224666422).

The spelling of 220531400 in words is "two hundred twenty million, five hundred thirty-one thousand, four hundred".