226355531392200 has 384 divisors, whose sum is σ = 824891637841920. Its totient is φ = 50270598604800.

The previous prime is 226355531392183. The next prime is 226355531392229. The reversal of 226355531392200 is 2293135553622.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 226355531392200.

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, 31213572 + ... + 37775628.

It is an arithmetic number, because the mean of its divisors is an integer number (2148155306880).

Almost surely, 2^{226355531392200} is an apocalyptic number.

226355531392200 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 226355531392200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412445818920960).

226355531392200 is an abundant number, since it is smaller than the sum of its proper divisors (598536106449720).

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

226355531392200 is a wasteful number, since it uses less digits than its factorization.

226355531392200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6562317 (or 6562308 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 48.

The spelling of 226355531392200 in words is "two hundred twenty-six trillion, three hundred fifty-five billion, five hundred thirty-one million, three hundred ninety-two thousand, two hundred".