224406264620 has 96 divisors (see below), whose sum is σ = 484962508800. Its totient is φ = 87176678400.

The previous prime is 224406264583. The next prime is 224406264661. The reversal of 224406264620 is 26462604422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132080531 + ... + 132082229.

It is an arithmetic number, because the mean of its divisors is an integer number (5051692800).

Almost surely, 2^224406264620 is an apocalyptic number.

224406264620 is a gapful number since it is divisible by the number (20) 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 224406264620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242481254400).

224406264620 is an abundant number, since it is smaller than the sum of its proper divisors (260556244180).

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

224406264620 is a wasteful number, since it uses less digits than its factorization.

224406264620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 224406264620 in words is "two hundred twenty-four billion, four hundred six million, two hundred sixty-four thousand, six hundred twenty".