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11226222 = 2337171747
BaseRepresentation
bin101010110100…
…110001101110
3210010100111000
4222310301232
510333214342
61040341130
7164264340
oct52646156
923110430
1011226222
116378477
1239147a6
132430a47
1416c3290
15ebb44c
hexab4c6e

11226222 has 64 divisors (see below), whose sum is σ = 30205440. Its totient is φ = 3017088.

The previous prime is 11226221. The next prime is 11226223. The reversal of 11226222 is 22262211.

It is an interprime number because it is at equal distance from previous prime (11226221) and next prime (11226223).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11226195 and 11226204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11226221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5553 + ... + 7299.

It is an arithmetic number, because the mean of its divisors is an integer number (471960).

Almost surely, 211226222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11226222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15102720).

11226222 is an abundant number, since it is smaller than the sum of its proper divisors (18979218).

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

11226222 is a wasteful number, since it uses less digits than its factorization.

11226222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1776 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 11226222 is about 3350.5554763352. Note that the first 3 decimals coincide. The cubic root of 11226222 is about 223.9122610247.

Adding to 11226222 its reverse (22262211), we get a palindrome (33488433).

The spelling of 11226222 in words is "eleven million, two hundred twenty-six thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 1747 2142 3213 3494 5241 6426 10482 12229 15723 24458 29699 31446 36687 47169 59398 73374 89097 94338 110061 178194 207893 220122 267291 330183 415786 534582 623679 660366 801873 1247358 1603746 1871037 3742074 5613111 11226222