301400022224 has 160 divisors (see below), whose sum is σ = 717182668800. Its totient is φ = 119772297216.

The previous prime is 301400022223. The next prime is 301400022229. The reversal of 301400022224 is 422220004103.

It is a junction number, because it is equal to n+sod(n) for n = 301400022196 and 301400022205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301400022221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39022427 + ... + 39030149.

It is an arithmetic number, because the mean of its divisors is an integer number (4482391680).

Almost surely, 2^301400022224 is an apocalyptic number.

301400022224 is a gapful number since it is divisible by the number (34) 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 301400022224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358591334400).

301400022224 is an abundant number, since it is smaller than the sum of its proper divisors (415782646576).

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

301400022224 is a wasteful number, since it uses less digits than its factorization.

301400022224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8057 (or 8051 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 301400022224 its reverse (422220004103), we get a palindrome (723620026327).

The spelling of 301400022224 in words is "three hundred one billion, four hundred million, twenty-two thousand, two hundred twenty-four".