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2012251332 = 2237133175813
BaseRepresentation
bin111011111110000…
…1000010011000100
312012020101221220010
41313330020103010
513110114020312
6531401310220
7100602565650
oct16774102304
95166357803
102012251332
11942955233
12481a95370
13260b76880
14151367a60
15bb9d293c
hex77f084c4

2012251332 has 96 divisors (see below), whose sum is σ = 5797999872. Its totient is φ = 528938496.

The previous prime is 2012251331. The next prime is 2012251337. The reversal of 2012251332 is 2331522102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2012251299 and 2012251308.

It is not an unprimeable number, because it can be changed into a prime (2012251331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343258 + ... + 349070.

It is an arithmetic number, because the mean of its divisors is an integer number (60395832).

Almost surely, 22012251332 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 2012251332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898999936).

2012251332 is an abundant number, since it is smaller than the sum of its proper divisors (3785748540).

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

2012251332 is a wasteful number, since it uses less digits than its factorization.

2012251332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6157 (or 6155 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2012251332 is about 44858.1244815251. The cubic root of 2012251332 is about 1262.4884332110.

Adding to 2012251332 its reverse (2331522102), we get a palindrome (4343773434).

The spelling of 2012251332 in words is "two billion, twelve million, two hundred fifty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 317 364 546 634 951 1092 1268 1902 2219 3804 4121 4438 5813 6657 8242 8876 11626 12363 13314 16484 17439 23252 24726 26628 28847 34878 40691 49452 57694 69756 75569 81382 86541 115388 122073 151138 162764 173082 226707 244146 302276 346164 453414 488292 528983 906828 1057966 1586949 1842721 2115932 3173898 3685442 5528163 6347796 7370884 11056326 12899047 22112652 23955373 25798094 38697141 47910746 51596188 71866119 77394282 95821492 143732238 154788564 167687611 287464476 335375222 503062833 670750444 1006125666 2012251332