224434400 has 108 divisors (see below), whose sum is σ = 564213888. Its totient is φ = 87171840.

The previous prime is 224434381. The next prime is 224434409. The reversal of 224434400 is 4434422.

224434400 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 not an unprimeable number, because it can be changed into a prime (224434409) 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 17 ways as a sum of consecutive naturals, for example, 1767137 + ... + 1767263.

Almost surely, 2^224434400 is an apocalyptic number.

224434400 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 224434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282106944).

224434400 is an abundant number, since it is smaller than the sum of its proper divisors (339779488).

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

224434400 is a wasteful number, since it uses less digits than its factorization.

224434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 224434400 is about 14981.1348034787. The cubic root of 224434400 is about 607.7101284426.

Adding to 224434400 its reverse (4434422), we get a palindrome (228868822).

The spelling of 224434400 in words is "two hundred twenty-four million, four hundred thirty-four thousand, four hundred".