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12810228 = 22329131281
BaseRepresentation
bin110000110111…
…011111110100
3220002211022220
4300313133310
511234411403
61134322340
7213612414
oct60673764
926084286
1012810228
11725a572
1243593b0
132866a22
1419b6644
1511d0953
hexc377f4

12810228 has 48 divisors (see below), whose sum is σ = 31268160. Its totient is φ = 4076800.

The previous prime is 12810211. The next prime is 12810229. The reversal of 12810228 is 82201821.

It is a junction number, because it is equal to n+sod(n) for n = 12810198 and 12810207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12810229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45448 + ... + 45728.

It is an arithmetic number, because the mean of its divisors is an integer number (651420).

Almost surely, 212810228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12810228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15634080).

12810228 is an abundant number, since it is smaller than the sum of its proper divisors (18457932).

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

12810228 is a wasteful number, since it uses less digits than its factorization.

12810228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12810228 is about 3579.1378850220. The cubic root of 12810228 is about 233.9837084136.

The spelling of 12810228 in words is "twelve million, eight hundred ten thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 131 174 262 281 348 393 524 562 786 843 1124 1572 1686 3372 3799 7598 8149 11397 15196 16298 22794 24447 32596 36811 45588 48894 73622 97788 110433 147244 220866 441732 1067519 2135038 3202557 4270076 6405114 12810228