226782161350200 has 72 divisors (see below), whose sum is σ = 761610091873800. Its totient is φ = 60475243026240.

The previous prime is 226782161350081. The next prime is 226782161350243. The reversal of 226782161350200 is 2053161287622.

226782161350200 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 8 + 2 + 1 + 613 + 5 + 0 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 17 ways as a sum of consecutive naturals, for example, 62995043020 + ... + 62995046619.

Almost surely, 2^{226782161350200} is an apocalyptic number.

226782161350200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226782161350200 is an abundant number, since it is smaller than the sum of its proper divisors (534827930523600).

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

226782161350200 is a wasteful number, since it uses less digits than its factorization.

226782161350200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125990089661 (or 125990089649 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 226782161350200 in words is "two hundred twenty-six trillion, seven hundred eighty-two billion, one hundred sixty-one million, three hundred fifty thousand, two hundred".