268220000 has 60 divisors (see below), whose sum is σ = 659910636. Its totient is φ = 107280000.

The previous prime is 268219981. The next prime is 268220009. The reversal of 268220000 is 22862.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268220009) 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 9 ways as a sum of consecutive naturals, for example, 13295 + ... + 26705.

Almost surely, 2^268220000 is an apocalyptic number.

268220000 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 268220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329955318).

268220000 is an abundant number, since it is smaller than the sum of its proper divisors (391690636).

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

268220000 is an equidigital number, since it uses as much as digits as its factorization.

268220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13441 (or 13418 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 268220000 is about 16377.4234847854. The cubic root of 268220000 is about 644.9069432883.

Adding to 268220000 its reverse (22862), we get a palindrome (268242862).

The spelling of 268220000 in words is "two hundred sixty-eight million, two hundred twenty thousand".