11006226 has 64 divisors (see below), whose sum is σ = 30504960. Its totient is φ = 2857680.

The previous prime is 11006161. The next prime is 11006243. The reversal of 11006226 is 62260011.

It is a happy number.

11006226 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11006226² = 242274021526152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11006199 and 11006208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2835 + ... + 5481.

It is an arithmetic number, because the mean of its divisors is an integer number (476640).

Almost surely, 2^11006226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11006226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252480).

11006226 is an abundant number, since it is smaller than the sum of its proper divisors (19498734).

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

11006226 is a wasteful number, since it uses less digits than its factorization.

11006226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11006226 is about 3317.5632623961. The cubic root of 11006226 is about 222.4399602342.

Adding to 11006226 its reverse (62260011), we get a palindrome (73266237).

The spelling of 11006226 in words is "eleven million, six thousand, two hundred twenty-six".