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2012333232 = 2437131732663
BaseRepresentation
bin111011111110001…
…1100010010110000
312012020120010020110
41313330130102300
513110124130412
6531403141320
7100603356510
oct16774342260
95166503213
102012333232
11942a00818
12481b14840
13260ba4c30
14151389840
15bb9ebd3c
hex77f1c4b0

2012333232 has 160 divisors (see below), whose sum is σ = 6437587968. Its totient is φ = 527459328.

The previous prime is 2012333207. The next prime is 2012333249. The reversal of 2012333232 is 2323332102.

It is a super-2 number, since 2×20123332322 = 8098970073223131648, which contains 22 as substring.

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 = 2012333199 and 2012333208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754333 + ... + 756995.

Almost surely, 22012333232 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 2012333232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218793984).

2012333232 is an abundant number, since it is smaller than the sum of its proper divisors (4425254736).

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

2012333232 is a wasteful number, since it uses less digits than its factorization.

2012333232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 2012333232 is about 44859.0373503489. The cubic root of 2012333232 is about 1262.5055610251.

Adding to 2012333232 its reverse (2323332102), we get a palindrome (4335665334).

The spelling of 2012333232 in words is "two billion, twelve million, three hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 173 182 208 273 312 336 346 364 519 546 624 692 728 1038 1092 1211 1384 1456 2076 2184 2249 2422 2663 2768 3633 4152 4368 4498 4844 5326 6747 7266 7989 8304 8996 9688 10652 13494 14532 15743 15978 17992 18641 19376 21304 26988 29064 31486 31956 34619 35984 37282 42608 47229 53976 55923 58128 62972 63912 69238 74564 94458 103857 107952 111846 125944 127824 138476 149128 188916 207714 223692 242333 251888 276952 298256 377832 415428 447384 460699 484666 553904 726999 755664 830856 894768 921398 969332 1382097 1453998 1661712 1842796 1938664 2764194 2907996 3224893 3685592 3877328 5528388 5815992 5989087 6449786 7371184 9674679 11056776 11631984 11978174 12899572 17967261 19349358 22113552 23956348 25799144 35934522 38698716 41923609 47912696 51598288 71869044 77397432 83847218 95825392 125770827 143738088 154794864 167694436 251541654 287476176 335388872 503083308 670777744 1006166616 2012333232