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2320024014 = 2327115331583
BaseRepresentation
bin1000101001001000…
…1100000111001110
312222200112102122100
42022102030013032
514222411232024
61022114055530
7111330610260
oct21222140716
95880472570
102320024014
11a90658420
12548b7a5a6
132ac866499
141801a1b30
15d8a297c9
hex8a48c1ce

2320024014 has 96 divisors (see below), whose sum is σ = 6385526784. Its totient is φ = 591215040.

The previous prime is 2320024009. The next prime is 2320024027. The reversal of 2320024014 is 4104200232.

It is a super-2 number, since 2×23200240142 = 10765022851073344392, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 57667 + ... + 89249.

It is an arithmetic number, because the mean of its divisors is an integer number (66515904).

Almost surely, 22320024014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320024014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192763392).

2320024014 is an abundant number, since it is smaller than the sum of its proper divisors (4065502770).

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

2320024014 is a wasteful number, since it uses less digits than its factorization.

2320024014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31662 (or 31659 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2320024014 is about 48166.6275962933. The cubic root of 2320024014 is about 1323.8257571530.

Adding to 2320024014 its reverse (4104200232), we get a palindrome (6424224246).

The spelling of 2320024014 in words is "two billion, three hundred twenty million, twenty-four thousand, fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 53 63 66 77 99 106 126 154 159 198 231 318 371 462 477 583 693 742 954 1113 1166 1386 1749 2226 3339 3498 4081 5247 6678 8162 10494 12243 24486 31583 36729 63166 73458 94749 189498 221081 284247 347413 442162 568494 663243 694826 1042239 1326486 1673899 1989729 2084478 2431891 3126717 3347798 3979458 4863782 5021697 6253434 7295673 10043394 11717293 14591346 15065091 18412889 21887019 23434586 30130182 35151879 36825778 43774038 55238667 70303758 105455637 110477334 128890223 165716001 210911274 257780446 331432002 386670669 773341338 1160012007 2320024014