286830022000 has 80 divisors (see below), whose sum is σ = 693783934272. Its totient is φ = 114694137600.

The previous prime is 286830021997. The next prime is 286830022001. The reversal of 286830022000 is 220038682.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286830022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6483957 + ... + 6528043.

Almost surely, 2^286830022000 is an apocalyptic number.

286830022000 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 286830022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346891967136).

286830022000 is an abundant number, since it is smaller than the sum of its proper divisors (406953912272).

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

286830022000 is a wasteful number, since it uses less digits than its factorization.

286830022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47363 (or 47347 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 286830022000 in words is "two hundred eighty-six billion, eight hundred thirty million, twenty-two thousand".