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12228260 = 22511231163
BaseRepresentation
bin101110101001…
…011010100100
3212000021000112
4232221122210
511112301020
61114032152
7205636622
oct56513244
925007015
1012228260
1169a2300
124118658
1326c1b75
1418a4512
1511182c5
hexba96a4

12228260 has 72 divisors (see below), whose sum is σ = 29315328. Its totient is φ = 4276800.

The previous prime is 12228257. The next prime is 12228269. The reversal of 12228260 is 6282221.

12228260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12228269) 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, 74939 + ... + 75101.

Almost surely, 212228260 is an apocalyptic number.

12228260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12228260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14657664).

12228260 is an abundant number, since it is smaller than the sum of its proper divisors (17087068).

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

12228260 is a wasteful number, since it uses less digits than its factorization.

12228260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 12228260 is about 3496.8929065672. The cubic root of 12228260 is about 230.3853653015.

It can be divided in two parts, 122 and 28260, that added together give a palindrome (28382).

The spelling of 12228260 in words is "twelve million, two hundred twenty-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 163 220 242 310 326 341 484 605 620 652 682 815 1210 1364 1630 1705 1793 2420 3260 3410 3586 3751 5053 6820 7172 7502 8965 10106 15004 17930 18755 19723 20212 25265 35860 37510 39446 50530 55583 75020 78892 98615 101060 111166 197230 222332 277915 394460 555830 611413 1111660 1222826 2445652 3057065 6114130 12228260