1003300224 has 64 divisors (see below), whose sum is σ = 2673269040. Its totient is φ = 333398016.

The previous prime is 1003300139. The next prime is 1003300241. The reversal of 1003300224 is 4220033001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1003300224² = 2013222678956900352, which contains 22 as substring.

It is a congruent number.

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, 125532 + ... + 133284.

Almost surely, 2^1003300224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336634520).

1003300224 is an abundant number, since it is smaller than the sum of its proper divisors (1669968816).

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

1003300224 is an equidigital number, since it uses as much as digits as its factorization.

1003300224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8107 (or 8095 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1003300224 is about 31674.9147433738. The cubic root of 1003300224 is about 1001.0988667163.

Adding to 1003300224 its reverse (4220033001), we get a palindrome (5223333225).

The spelling of 1003300224 in words is "one billion, three million, three hundred thousand, two hundred twenty-four".