2300144000224 has 24 divisors (see below), whose sum is σ = 5175324001008. Its totient is φ = 985776000000.

The previous prime is 2300144000213. The next prime is 2300144000261. The reversal of 2300144000224 is 4220004410032.

It is a happy number.

It is a super-3 number, since 3×2300144000224³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2300144000195 and 2300144000204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5134249777 + ... + 5134250224.

It is an arithmetic number, because the mean of its divisors is an integer number (215638500042).

Almost surely, 2^{2300144000224} is an apocalyptic number.

It is an amenable number.

2300144000224 is an abundant number, since it is smaller than the sum of its proper divisors (2875180000784).

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

2300144000224 is a wasteful number, since it uses less digits than its factorization.

2300144000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10268500018 (or 10268500010 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 2300144000224 its reverse (4220004410032), we get a palindrome (6520148410256).

It can be divided in two parts, 23001 and 44000224, that added together give a square (44023225 = 6635²).

The spelling of 2300144000224 in words is "two trillion, three hundred billion, one hundred forty-four million, two hundred twenty-four", and thus it is an aban number.