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1106226 = 2321137151
BaseRepresentation
bin100001110000100110010
32002012110100
410032010302
5240344401
635413230
712255102
oct4160462
92065410
101106226
11696140
12454216
132c9694
1420b202
1516cb86
hex10e132

1106226 has 48 divisors (see below), whose sum is σ = 2703168. Its totient is φ = 324000.

The previous prime is 1106219. The next prime is 1106233. The reversal of 1106226 is 6226011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1106219) and next prime (1106233).

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 = 1106199 and 1106208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7251 + ... + 7401.

It is an arithmetic number, because the mean of its divisors is an integer number (56316).

21106226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351584).

1106226 is an abundant number, since it is smaller than the sum of its proper divisors (1596942).

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

1106226 is a wasteful number, since it uses less digits than its factorization.

1106226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 204 counting only the distinct ones).

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

The square root of 1106226 is about 1051.7727891517. The cubic root of 1106226 is about 103.4224021039.

It can be divided in two parts, 110 and 6226, that added together give a palindrome (6336).

The spelling of 1106226 in words is "one million, one hundred six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 151 198 222 302 333 407 453 666 814 906 1221 1359 1661 2442 2718 3322 3663 4983 5587 7326 9966 11174 14949 16761 29898 33522 50283 61457 100566 122914 184371 368742 553113 1106226