224102400 has 144 divisors (see below), whose sum is σ = 741358800. Its totient is φ = 59719680.

The previous prime is 224102399. The next prime is 224102443. The reversal of 224102400 is 4201422.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 224102400.

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, 152871 + ... + 154329.

It is an arithmetic number, because the mean of its divisors is an integer number (5148325).

Almost surely, 2^224102400 is an apocalyptic number.

224102400 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 224102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370679400).

224102400 is an abundant number, since it is smaller than the sum of its proper divisors (517256400).

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

224102400 is a wasteful number, since it uses less digits than its factorization.

224102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 224102400 is about 14970.0501001166. The cubic root of 224102400 is about 607.4103239407.

Adding to 224102400 its reverse (4201422), we get a palindrome (228303822).

The spelling of 224102400 in words is "two hundred twenty-four million, one hundred two thousand, four hundred".