223105517300220 has 192 divisors, whose sum is σ = 658263570048000. Its totient is φ = 56304438349824.

The previous prime is 223105517300189. The next prime is 223105517300293. The reversal of 223105517300220 is 22003715501322.

It is a super-3 number, since 3×223105517300220³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4341984649 + ... + 4342036031.

It is an arithmetic number, because the mean of its divisors is an integer number (3428456094000).

Almost surely, 2^{223105517300220} is an apocalyptic number.

223105517300220 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 223105517300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329131785024000).

223105517300220 is an abundant number, since it is smaller than the sum of its proper divisors (435158052747780).

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

223105517300220 is a wasteful number, since it uses less digits than its factorization.

223105517300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55332 (or 55330 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 223105517300220 in words is "two hundred twenty-three trillion, one hundred five billion, five hundred seventeen million, three hundred thousand, two hundred twenty".