220134400 has 66 divisors (see below), whose sum is σ = 545730200. Its totient is φ = 88043520.

The previous prime is 220134367. The next prime is 220134407. The reversal of 220134400 is 4431022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220134407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21301 + ... + 29899.

Almost surely, 2^220134400 is an apocalyptic number.

220134400 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 220134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272865100).

220134400 is an abundant number, since it is smaller than the sum of its proper divisors (325595800).

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

220134400 is an equidigital number, since it uses as much as digits as its factorization.

220134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8629 (or 8606 counting only the distinct ones).

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

The square root of 220134400 is about 14836.9269055287. The cubic root of 220134400 is about 603.8039800736.

Adding to 220134400 its reverse (4431022), we get a palindrome (224565422).

The spelling of 220134400 in words is "two hundred twenty million, one hundred thirty-four thousand, four hundred".