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2313251424 = 2532111913823
BaseRepresentation
bin1000100111100001…
…0110101001100000
312222012210100101200
42021320112221200
514214143021144
61021313001200
7111216212151
oct21170265140
95865710350
102313251424
11a87852040
12546853200
132ab334933
1417d31b928
15d813cc69
hex89e16a60

2313251424 has 144 divisors (see below), whose sum is σ = 7215796224. Its totient is φ = 697132800.

The previous prime is 2313251411. The next prime is 2313251429. The reversal of 2313251424 is 4241523132.

2313251424 is a `hidden beast` number, since 231 + 3 + 2 + 5 + 1 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×23132514242 = 10702264301276055552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313251429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603177 + ... + 606999.

It is an arithmetic number, because the mean of its divisors is an integer number (50109696).

Almost surely, 22313251424 is an apocalyptic number.

2313251424 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 2313251424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607898112).

2313251424 is an abundant number, since it is smaller than the sum of its proper divisors (4902544800).

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

2313251424 is a wasteful number, since it uses less digits than its factorization.

2313251424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4030 counting only the distinct ones).

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

The square root of 2313251424 is about 48096.2724543181. The cubic root of 2313251424 is about 1322.5363355166.

Adding to 2313251424 its reverse (4241523132), we get a palindrome (6554774556).

The spelling of 2313251424 in words is "two billion, three hundred thirteen million, two hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 191 198 264 288 352 382 396 528 573 764 792 1056 1146 1528 1584 1719 2101 2292 3056 3168 3438 3823 4202 4584 6112 6303 6876 7646 8404 9168 11469 12606 13752 15292 16808 18336 18909 22938 25212 27504 30584 33616 34407 37818 42053 45876 50424 55008 61168 67232 68814 75636 84106 91752 100848 122336 126159 137628 151272 168212 183504 201696 252318 275256 302544 336424 367008 378477 504636 550512 605088 672848 730193 756954 1009272 1101024 1345696 1460386 1513908 2018544 2190579 2920772 3027816 4037088 4381158 5841544 6055632 6571737 8032123 8762316 11683088 12111264 13143474 16064246 17524632 23366176 24096369 26286948 32128492 35049264 48192738 52573896 64256984 70098528 72289107 96385476 105147792 128513968 144578214 192770952 210295584 257027936 289156428 385541904 578312856 771083808 1156625712 2313251424