Search a number
-
+
2010234336 = 253113116121
BaseRepresentation
bin111011111010001…
…1011110111100000
312012002121111002120
41313310123313200
513104104444321
6531250144240
7100546465335
oct16764336740
95162544076
102010234336
119417a78a0
12481282080
1326061b796
14150da098c
15bb734ec6
hex77d1bde0

2010234336 has 96 divisors (see below), whose sum is σ = 5776033536. Its totient is φ = 607104000.

The previous prime is 2010234329. The next prime is 2010234337. The reversal of 2010234336 is 6334320102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010234337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325356 + ... + 331476.

It is an arithmetic number, because the mean of its divisors is an integer number (60167016).

Almost surely, 22010234336 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 2010234336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888016768).

2010234336 is an abundant number, since it is smaller than the sum of its proper divisors (3765799200).

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

2010234336 is a wasteful number, since it uses less digits than its factorization.

2010234336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6456 (or 6448 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2010234336 is about 44835.6368974502. The cubic root of 2010234336 is about 1262.0664704462.

Adding to 2010234336 its reverse (6334320102), we get a palindrome (8344554438).

The spelling of 2010234336 in words is "two billion, ten million, two hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 311 352 528 622 933 1056 1244 1866 2488 3421 3732 4976 6121 6842 7464 9952 10263 12242 13684 14928 18363 20526 24484 27368 29856 36726 41052 48968 54736 67331 73452 82104 97936 109472 134662 146904 164208 195872 201993 269324 293808 328416 403986 538648 587616 807972 1077296 1615944 1903631 2154592 3231888 3807262 5710893 6463776 7614524 11421786 15229048 20939941 22843572 30458096 41879882 45687144 60916192 62819823 83759764 91374288 125639646 167519528 182748576 251279292 335039056 502558584 670078112 1005117168 2010234336