224000200 has 24 divisors (see below), whose sum is σ = 520800930. Its totient is φ = 89600000.

The previous prime is 224000159. The next prime is 224000209. The reversal of 224000200 is 2000422.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 207532836 + 16467364 = 14406^2 + 4058^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (224000209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 559801 + ... + 560200.

Almost surely, 2^224000200 is an apocalyptic number.

224000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224000200 is an abundant number, since it is smaller than the sum of its proper divisors (296800730).

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

224000200 is a wasteful number, since it uses less digits than its factorization.

224000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120017 (or 1120008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 224000200 is about 14966.6362286253. The cubic root of 224000200 is about 607.3179751244.

Adding to 224000200 its reverse (2000422), we get a palindrome (226000622).

The spelling of 224000200 in words is "two hundred twenty-four million, two hundred", and thus it is an aban number.