Search a number
-
+
2012311224 = 2332721151853
BaseRepresentation
bin111011111110001…
…0110111010111000
312012020112000001100
41313330112322320
513110122424344
6531402451400
7100603235400
oct16774267270
95166460040
102012311224
11942996230
12481b03b60
13260b97c01
14151381800
15bb9e5569
hex77f16eb8

2012311224 has 144 divisors (see below), whose sum is σ = 6916286520. Its totient is φ = 522668160.

The previous prime is 2012311159. The next prime is 2012311237. The reversal of 2012311224 is 4221132102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2012311197 and 2012311206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12882 + ... + 64734.

Almost surely, 22012311224 is an apocalyptic number.

2012311224 is a gapful number since it is divisible by the number (24) 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 2012311224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458143260).

2012311224 is an abundant number, since it is smaller than the sum of its proper divisors (4903975296).

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

2012311224 is a wasteful number, since it uses less digits than its factorization.

2012311224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51890 (or 51876 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2012311224 is about 44858.7920479364. The cubic root of 2012311224 is about 1262.5009585197.

Adding to 2012311224 its reverse (4221132102), we get a palindrome (6233443326).

It can be divided in two parts, 2012 and 311224, that added together give a triangular number (313236 = T791).

The spelling of 2012311224 in words is "two billion, twelve million, three hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 49 56 63 66 72 77 84 88 98 99 126 132 147 154 168 196 198 231 252 264 294 308 392 396 441 462 504 539 588 616 693 792 882 924 1078 1176 1386 1617 1764 1848 2156 2772 3234 3528 4312 4851 5544 6468 9702 12936 19404 38808 51853 103706 155559 207412 311118 362971 414824 466677 570383 622236 725942 933354 1088913 1140766 1244472 1451884 1711149 1866708 2177826 2281532 2540797 2903768 3266739 3422298 3733416 3992681 4355652 4563064 5081594 5133447 6533478 6844596 7622391 7985362 8711304 10163188 10266894 11978043 13066956 13689192 15244782 15970724 20326376 20533788 22867173 23956086 26133912 27948767 30489564 31941448 35934129 41067576 45734346 47912172 55897534 60979128 71868258 83846301 91468692 95824344 111795068 143736516 167692602 182937384 223590136 251538903 287473032 335385204 503077806 670770408 1006155612 2012311224