2268206226 has 336 divisors, whose sum is σ = 6447405888. Its totient is φ = 592764480.

The previous prime is 2268206221. The next prime is 2268206267. The reversal of 2268206226 is 6226028622.

It is a happy number.

2268206226 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 20 + 622 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2268206221) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 52748961 + ... + 52749003.

It is an arithmetic number, because the mean of its divisors is an integer number (19188708).

Almost surely, 2^2268206226 is an apocalyptic number.

2268206226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268206226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223702944).

2268206226 is an abundant number, since it is smaller than the sum of its proper divisors (4179199662).

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

2268206226 is a wasteful number, since it uses less digits than its factorization.

2268206226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2268206226 is about 47625.6887194296. The cubic root of 2268206226 is about 1313.8955631013.

The spelling of 2268206226 in words is "two billion, two hundred sixty-eight million, two hundred six thousand, two hundred twenty-six".