224310400 has 96 divisors (see below), whose sum is σ = 558535680. Its totient is φ = 89011200.

The previous prime is 224310397. The next prime is 224310419. The reversal of 224310400 is 4013422.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 611017 + ... + 611383.

It is an arithmetic number, because the mean of its divisors is an integer number (5818080).

Almost surely, 2^224310400 is an apocalyptic number.

224310400 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 224310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279267840).

224310400 is an abundant number, since it is smaller than the sum of its proper divisors (334225280).

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

224310400 is a wasteful number, since it uses less digits than its factorization.

224310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 565 counting only the distinct ones).

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

The square root of 224310400 is about 14976.9956933959. The cubic root of 224310400 is about 607.5981878811.

Adding to 224310400 its reverse (4013422), we get a palindrome (228323822).

The spelling of 224310400 in words is "two hundred twenty-four million, three hundred ten thousand, four hundred".