220114400 has 72 divisors (see below), whose sum is σ = 586228104. Its totient is φ = 80038400.

The previous prime is 220114397. The next prime is 220114429. The reversal of 220114400 is 4411022.

220114400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3707 + ... + 21306.

It is an arithmetic number, because the mean of its divisors is an integer number (8142057).

Almost surely, 2^220114400 is an apocalyptic number.

220114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220114400 is an abundant number, since it is smaller than the sum of its proper divisors (366113704).

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

220114400 is a wasteful number, since it uses less digits than its factorization.

220114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25044 (or 25031 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 220114400 is about 14836.2528961999. The cubic root of 220114400 is about 603.7856936005.

Adding to 220114400 its reverse (4411022), we get a palindrome (224525422).

The spelling of 220114400 in words is "two hundred twenty million, one hundred fourteen thousand, four hundred".