22226203365300 has 432 divisors, whose sum is σ = 78643024649280. Its totient is φ = 5200903680000.

The previous prime is 22226203365263. The next prime is 22226203365313. The reversal of 22226203365300 is 356330262222.

22226203365300 is a `hidden beast` number, since 2 + 2 + 2 + 262 + 0 + 3 + 365 + 30 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1277873404 + ... + 1277890796.

It is an arithmetic number, because the mean of its divisors is an integer number (182044038540).

Almost surely, 2^{22226203365300} is an apocalyptic number.

22226203365300 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 22226203365300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39321512324640).

22226203365300 is an abundant number, since it is smaller than the sum of its proper divisors (56416821283980).

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

22226203365300 is a wasteful number, since it uses less digits than its factorization.

22226203365300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21904 (or 21894 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 22226203365300 in words is "twenty-two trillion, two hundred twenty-six billion, two hundred three million, three hundred sixty-five thousand, three hundred".