6300224 has 70 divisors (see below), whose sum is σ = 14940534. Its totient is φ = 2634240.

The previous prime is 6300199. The next prime is 6300241. The reversal of 6300224 is 4220036.

It can be written as a sum of positive squares in only one way, i.e., 3841600 + 2458624 = 1960^2 + 1568^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153644 + ... + 153684.

Almost surely, 2^6300224 is an apocalyptic number.

6300224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7470267).

6300224 is an abundant number, since it is smaller than the sum of its proper divisors (8640310).

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

6300224 is an frugal number, since it uses more digits than its factorization.

6300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 6300224 is about 2510.0247010737. The cubic root of 6300224 is about 184.6936639548.

The spelling of 6300224 in words is "six million, three hundred thousand, two hundred twenty-four".