224301420122320 has 40 divisors (see below), whose sum is σ = 521502288458400. Its totient is φ = 89720312277120.

The previous prime is 224301420122303. The next prime is 224301420122341. The reversal of 224301420122320 is 23221024103422.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×224301420122320² (a number of 30 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 25603335 + ... + 33228505.

It is an arithmetic number, because the mean of its divisors is an integer number (13037557211460).

Almost surely, 2^{224301420122320} is an apocalyptic number.

224301420122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224301420122320 is an abundant number, since it is smaller than the sum of its proper divisors (297200868336080).

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

224301420122320 is a wasteful number, since it uses less digits than its factorization.

224301420122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992883 (or 7992877 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 224301420122320 its reverse (23221024103422), we get a palindrome (247522444225742).

The spelling of 224301420122320 in words is "two hundred twenty-four trillion, three hundred one billion, four hundred twenty million, one hundred twenty-two thousand, three hundred twenty".