224312400 has 180 divisors, whose sum is σ = 838480188. Its totient is φ = 55203840.

The previous prime is 224312393. The next prime is 224312401. The reversal of 224312400 is 4213422.

It can be written as a sum of positive squares in 6 ways, for example, as 3968064 + 220344336 = 1992^2 + 14844^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224312401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44404 + ... + 49196.

Almost surely, 2^224312400 is an apocalyptic number.

224312400 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 224312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419240094).

224312400 is an abundant number, since it is smaller than the sum of its proper divisors (614167788).

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

224312400 is a wasteful number, since it uses less digits than its factorization.

224312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4830 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224312400 is about 14977.0624623122. The cubic root of 224312400 is about 607.5999937013.

Adding to 224312400 its reverse (4213422), we get a palindrome (228525822).

The spelling of 224312400 in words is "two hundred twenty-four million, three hundred twelve thousand, four hundred".