224233000 has 32 divisors (see below), whose sum is σ = 524707560. Its totient is φ = 89692800.

The previous prime is 224232989. The next prime is 224233007. The reversal of 224233000 is 332422.

It can be written as a sum of positive squares in 4 ways, for example, as 19342404 + 204890596 = 4398^2 + 14314^2 .

It is not an unprimeable number, because it can be changed into a prime (224233007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 111117 + ... + 113116.

Almost surely, 2^224233000 is an apocalyptic number.

224233000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224233000 is an abundant number, since it is smaller than the sum of its proper divisors (300474560).

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

224233000 is a wasteful number, since it uses less digits than its factorization.

224233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224254 (or 224240 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 224233000 is about 14974.4115076353. The cubic root of 224233000 is about 607.5282943914.

Adding to 224233000 its reverse (332422), we get a palindrome (224565422).

The spelling of 224233000 in words is "two hundred twenty-four million, two hundred thirty-three thousand".