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12284226 = 23229101233
BaseRepresentation
bin101110110111…
…000101000010
3212010002210100
4232313011002
511121043401
61115143230
7206262033
oct56670502
925102710
1012284226
116a30359
124144b16
132711496
1418baa8a
151129b86
hexbb7142

12284226 has 48 divisors (see below), whose sum is σ = 27925560. Its totient is φ = 3897600.

The previous prime is 12284219. The next prime is 12284243. The reversal of 12284226 is 62248221.

It is a happy number.

12284226 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 can be written as a sum of positive squares in 4 ways, for example, as 11553201 + 731025 = 3399^2 + 855^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12284226.

It is a congruent number.

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, 52606 + ... + 52838.

Almost surely, 212284226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12284226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13962780).

12284226 is an abundant number, since it is smaller than the sum of its proper divisors (15641334).

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

12284226 is a wasteful number, since it uses less digits than its factorization.

12284226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 368 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 12284226 is about 3504.8860181181. The cubic root of 12284226 is about 230.7363044818.

It can be divided in two parts, 122 and 84226, that added together give a palindrome (84348).

The spelling of 12284226 in words is "twelve million, two hundred eighty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 29 58 87 101 174 202 233 261 303 466 522 606 699 909 1398 1818 2097 2929 4194 5858 6757 8787 13514 17574 20271 23533 26361 40542 47066 52722 60813 70599 121626 141198 211797 423594 682457 1364914 2047371 4094742 6142113 12284226