266227200 has 180 divisors, whose sum is σ = 953165928. Its totient is φ = 70963200.

The previous prime is 266227187. The next prime is 266227201. The reversal of 266227200 is 2722662.

266227200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266227201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114045 + ... + 116355.

Almost surely, 2^266227200 is an apocalyptic number.

266227200 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 266227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476582964).

266227200 is an abundant number, since it is smaller than the sum of its proper divisors (686938728).

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

266227200 is a wasteful number, since it uses less digits than its factorization.

266227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 266227200 is about 16316.4702065122. The cubic root of 266227200 is about 643.3058116558.

Adding to 266227200 its reverse (2722662), we get a palindrome (268949862).

It can be divided in two parts, 26 and 6227200, that added together give a palindrome (6227226).

The spelling of 266227200 in words is "two hundred sixty-six million, two hundred twenty-seven thousand, two hundred".