224230000 has 100 divisors (see below), whose sum is σ = 575253360. Its totient is φ = 84352000.

The previous prime is 224229991. The next prime is 224230003. The reversal of 224230000 is 32422.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224230003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169341 + ... + 170659.

Almost surely, 2^224230000 is an apocalyptic number.

224230000 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 224230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287626680).

224230000 is an abundant number, since it is smaller than the sum of its proper divisors (351023360).

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

224230000 is a wasteful number, since it uses less digits than its factorization.

224230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 224230000 is about 14974.3113364188. The cubic root of 224230000 is about 607.5255850176.

Adding to 224230000 its reverse (32422), we get a palindrome (224262422).

The spelling of 224230000 in words is "two hundred twenty-four million, two hundred thirty thousand".