223218429083820 has 288 divisors, whose sum is σ = 717460921300032. Its totient is φ = 55981595541504.

The previous prime is 223218429083807. The next prime is 223218429083843. The reversal of 223218429083820 is 28380924812322.

223218429083820 is a `hidden beast` number, since 2 + 2 + 3 + 218 + 42 + 9 + 0 + 8 + 382 + 0 = 666.

It is a super-3 number, since 3×223218429083820³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36160442254 + ... + 36160448426.

It is an arithmetic number, because the mean of its divisors is an integer number (2491183754514).

Almost surely, 2^{223218429083820} is an apocalyptic number.

223218429083820 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 223218429083820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358730460650016).

223218429083820 is an abundant number, since it is smaller than the sum of its proper divisors (494242492216212).

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

223218429083820 is a wasteful number, since it uses less digits than its factorization.

223218429083820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13121 (or 13116 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 223218429083820 in words is "two hundred twenty-three trillion, two hundred eighteen billion, four hundred twenty-nine million, eighty-three thousand, eight hundred twenty".