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11822226 = 2313289131
BaseRepresentation
bin101101000110…
…010010010010
3211020122001020
4231012102102
511011302401
61101220310
7202326063
oct55062222
924218036
1011822226
116745239
123b61696
1325ac100
1417da56a
151087d36
hexb46492

11822226 has 48 divisors (see below), whose sum is σ = 26088480. Its totient is φ = 3569280.

The previous prime is 11822221. The next prime is 11822231. The reversal of 11822226 is 62222811.

It is an interprime number because it is at equal distance from previous prime (11822221) and next prime (11822231).

It is a junction number, because it is equal to n+sod(n) for n = 11822196 and 11822205.

It is not an unprimeable number, because it can be changed into a prime (11822221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90181 + ... + 90311.

It is an arithmetic number, because the mean of its divisors is an integer number (543510).

Almost surely, 211822226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11822226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13044240).

11822226 is an abundant number, since it is smaller than the sum of its proper divisors (14266254).

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

11822226 is a wasteful number, since it uses less digits than its factorization.

11822226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 11822226 is about 3438.3464048871. The cubic root of 11822226 is about 227.8066612766.

The spelling of 11822226 in words is "eleven million, eight hundred twenty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 89 131 169 178 262 267 338 393 507 534 786 1014 1157 1703 2314 3406 3471 5109 6942 10218 11659 15041 22139 23318 30082 34977 44278 45123 66417 69954 90246 132834 151567 303134 454701 909402 1970371 3940742 5911113 11822226