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2012453226 = 232723189827
BaseRepresentation
bin111011111110011…
…1001100101101010
312012020210012211200
41313330321211222
513110142000401
6531405505030
7100604366400
oct16774714552
95166705750
102012453226
11942a82993
12481b72176
13260c17734
141513bb470
15bba22686
hex77f3996a

2012453226 has 144 divisors (see below), whose sum is σ = 5301054720. Its totient is φ = 549521280.

The previous prime is 2012453221. The next prime is 2012453239. The reversal of 2012453226 is 6223542102.

It is a happy number.

2012453226 is a `hidden beast` number, since 2 + 0 + 124 + 532 + 2 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2012453226.

It is not an unprimeable number, because it can be changed into a prime (2012453221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2433025 + ... + 2433851.

It is an arithmetic number, because the mean of its divisors is an integer number (36812880).

Almost surely, 22012453226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012453226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650527360).

2012453226 is an abundant number, since it is smaller than the sum of its proper divisors (3288601494).

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

2012453226 is a wasteful number, since it uses less digits than its factorization.

2012453226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2012453226 is about 44860.3747866645. The cubic root of 2012453226 is about 1262.5306546293.

Adding to 2012453226 its reverse (6223542102), we get a palindrome (8235995328).

The spelling of 2012453226 in words is "two billion, twelve million, four hundred fifty-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 89 93 98 126 147 178 186 217 267 279 294 434 441 534 558 623 651 801 827 882 1246 1302 1519 1602 1654 1869 1953 2481 2759 3038 3738 3906 4361 4557 4962 5518 5607 5789 7443 8277 8722 9114 11214 11578 13083 13671 14886 16554 17367 19313 24831 25637 26166 27342 34734 38626 39249 40523 49662 51274 52101 57939 73603 76911 78498 81046 104202 115878 121569 135191 147206 153822 173817 179459 220809 230733 243138 270382 347634 358918 364707 405573 441618 461466 515221 538377 662427 729414 811146 1030442 1076754 1216719 1256213 1324854 1545663 1615131 2281693 2433438 2512426 3091326 3230262 3606547 3768639 4563386 4636989 6845079 7213094 7537278 9273978 10819641 11305917 13690158 15971851 20535237 21639282 22611834 31943702 32458923 41070474 47915553 64917846 95831106 111802957 143746659 223605914 287493318 335408871 670817742 1006226613 2012453226