223855198838280 has 384 divisors, whose sum is σ = 777697479936000. Its totient is φ = 55645809278976.

The previous prime is 223855198838251. The next prime is 223855198838309. The reversal of 223855198838280 is 82838891558322.

223855198838280 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 5 + 519 + 8 + 83 + 8 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (223855198838251) and next prime (223855198838309).

It is a super-2 number, since 2×223855198838280² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 223855198838199 and 223855198838208.

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 95 ways as a sum of consecutive naturals, for example, 3142541544 + ... + 3142612776.

It is an arithmetic number, because the mean of its divisors is an integer number (2025253854000).

Almost surely, 2^{223855198838280} is an apocalyptic number.

223855198838280 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 223855198838280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388848739968000).

223855198838280 is an abundant number, since it is smaller than the sum of its proper divisors (553842281097720).

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

223855198838280 is a wasteful number, since it uses less digits than its factorization.

223855198838280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76173 (or 76166 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 72.

The spelling of 223855198838280 in words is "two hundred twenty-three trillion, eight hundred fifty-five billion, one hundred ninety-eight million, eight hundred thirty-eight thousand, two hundred eighty".