223311198240 has 1536 divisors, whose sum is σ = 941823590400. Its totient is φ = 48910417920.

The previous prime is 223311198239. The next prime is 223311198241. The reversal of 223311198240 is 42891113322.

223311198240 is a `hidden beast` number, since 223 + 3 + 1 + 1 + 198 + 240 = 666.

223311198240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223311198239) and next prime (223311198241).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223311198195 and 223311198204.

It is not an unprimeable number, because it can be changed into a prime (223311198241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1422364242 + ... + 1422364398.

It is an arithmetic number, because the mean of its divisors is an integer number (613166400).

Almost surely, 2^223311198240 is an apocalyptic number.

223311198240 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 223311198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470911795200).

223311198240 is an abundant number, since it is smaller than the sum of its proper divisors (718512392160).

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

223311198240 is a wasteful number, since it uses less digits than its factorization.

223311198240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 223311198240 in words is "two hundred twenty-three billion, three hundred eleven million, one hundred ninety-eight thousand, two hundred forty".