224213300 has 72 divisors (see below), whose sum is σ = 515592000. Its totient is φ = 84395520.

The previous prime is 224213299. The next prime is 224213317. The reversal of 224213300 is 3312422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377804 + ... + 378396.

It is an arithmetic number, because the mean of its divisors is an integer number (7161000).

Almost surely, 2^224213300 is an apocalyptic number.

224213300 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 224213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257796000).

224213300 is an abundant number, since it is smaller than the sum of its proper divisors (291378700).

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

224213300 is a wasteful number, since it uses less digits than its factorization.

224213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 224213300 is about 14973.7537043989. The cubic root of 224213300 is about 607.5105023954.

Adding to 224213300 its reverse (3312422), we get a palindrome (227525722).

The spelling of 224213300 in words is "two hundred twenty-four million, two hundred thirteen thousand, three hundred".