301420224 has 112 divisors (see below), whose sum is σ = 1012748800. Its totient is φ = 86116608.

The previous prime is 301420219. The next prime is 301420253. The reversal of 301420224 is 422024103.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 301420197 and 301420206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364 + ... + 24555.

It is an arithmetic number, because the mean of its divisors is an integer number (9042400).

Almost surely, 2^301420224 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 301420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506374400).

301420224 is an abundant number, since it is smaller than the sum of its proper divisors (711328576).

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

301420224 is a wasteful number, since it uses less digits than its factorization.

301420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24947 (or 24931 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 301420224 is about 17361.4580032899. The cubic root of 301420224 is about 670.4876704988.

Adding to 301420224 its reverse (422024103), we get a palindrome (723444327).

The spelling of 301420224 in words is "three hundred one million, four hundred twenty thousand, two hundred twenty-four".