10224800 has 36 divisors (see below), whose sum is σ = 24963246. Its totient is φ = 4089600.

The previous prime is 10224787. The next prime is 10224817. The reversal of 10224800 is 842201.

It can be written as a sum of positive squares in 3 ways, for example, as 8596624 + 1628176 = 2932^2 + 1276^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5591 + ... + 7190.

Almost surely, 2^10224800 is an apocalyptic number.

10224800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10224800 is an abundant number, since it is smaller than the sum of its proper divisors (14738446).

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

10224800 is a wasteful number, since it uses less digits than its factorization.

10224800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12801 (or 12788 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 10224800 is about 3197.6241179976. The cubic root of 10224800 is about 217.0459104231.

The spelling of 10224800 in words is "ten million, two hundred twenty-four thousand, eight hundred".