226308965299200 has 6336 divisors, whose sum is σ = 1067777865842688. Its totient is φ = 46352026828800.

The previous prime is 226308965299189. The next prime is 226308965299247. The reversal of 226308965299200 is 2992569803622.

226308965299200 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 0 + 89 + 6 + 529 + 9 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 1148776473502 + ... + 1148776473698.

It is an arithmetic number, because the mean of its divisors is an integer number (168525547008).

Almost surely, 2^{226308965299200} is an apocalyptic number.

226308965299200 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 226308965299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533888932921344).

226308965299200 is an abundant number, since it is smaller than the sum of its proper divisors (841468900543488).

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

226308965299200 is a wasteful number, since it uses less digits than its factorization.

226308965299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 226308965299200 in words is "two hundred twenty-six trillion, three hundred eight billion, nine hundred sixty-five million, two hundred ninety-nine thousand, two hundred".