224006800 has 30 divisors (see below), whose sum is σ = 538177298. Its totient is φ = 89602560.

The previous prime is 224006771. The next prime is 224006803. The reversal of 224006800 is 8600422.

It can be written as a sum of positive squares in 3 ways, for example, as 8856576 + 215150224 = 2976^2 + 14668^2 .

It is not an unprimeable number, because it can be changed into a prime (224006803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 279609 + ... + 280408.

Almost surely, 2^224006800 is an apocalyptic number.

224006800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224006800 is an abundant number, since it is smaller than the sum of its proper divisors (314170498).

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

224006800 is a wasteful number, since it uses less digits than its factorization.

224006800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560035 (or 560024 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 224006800 is about 14966.8567174273. The cubic root of 224006800 is about 607.3239397906.

The spelling of 224006800 in words is "two hundred twenty-four million, six thousand, eight hundred".