224033000 has 32 divisors (see below), whose sum is σ = 524239560. Its totient is φ = 89612800.

The previous prime is 224032993. The next prime is 224033011. The reversal of 224033000 is 330422.

It can be written as a sum of positive squares in 4 ways, for example, as 42484324 + 181548676 = 6518^2 + 13474^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111017 + ... + 113016.

Almost surely, 2^224033000 is an apocalyptic number.

224033000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224033000 is an abundant number, since it is smaller than the sum of its proper divisors (300206560).

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

224033000 is a wasteful number, since it uses less digits than its factorization.

224033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224054 (or 224040 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 224033000 is about 14967.7319591179. The cubic root of 224033000 is about 607.3476165524.

Adding to 224033000 its reverse (330422), we get a palindrome (224363422).

The spelling of 224033000 in words is "two hundred twenty-four million, thirty-three thousand".