1000300224 has 168 divisors, whose sum is σ = 3325229824. Its totient is φ = 259776000.

The previous prime is 1000300211. The next prime is 1000300237. The reversal of 1000300224 is 4220030001.

It is an interprime number because it is at equal distance from previous prime (1000300211) and next prime (1000300237).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159549 + ... + 165699.

Almost surely, 2^1000300224 is an apocalyptic number.

1000300224 is a gapful number since it is divisible by the number (14) 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 1000300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662614912).

1000300224 is an abundant number, since it is smaller than the sum of its proper divisors (2324929600).

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

1000300224 is a wasteful number, since it uses less digits than its factorization.

1000300224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6195 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1000300224 is about 31627.5232036908. The cubic root of 1000300224 is about 1000.1000646534.

Adding to 1000300224 its reverse (4220030001), we get a palindrome (5220330225).

The spelling of 1000300224 in words is "one billion, three hundred thousand, two hundred twenty-four".