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2333414020 = 2257312232411
BaseRepresentation
bin1000101100010101…
…0001001010000100
320000121201201021111
42023011101022010
514234323222040
61023313054404
7111552456220
oct21305211204
96017651244
102333414020
11a98173543
12551557404
132b2574072
14181c89780
15d9cc1dea
hex8b151284

2333414020 has 96 divisors (see below), whose sum is σ = 5809176576. Its totient is φ = 770428800.

The previous prime is 2333413981. The next prime is 2333414021. The reversal of 2333414020 is 204143332.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2333413982 and 2333414000.

It is not an unprimeable number, because it can be changed into a prime (2333414021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 966615 + ... + 969025.

It is an arithmetic number, because the mean of its divisors is an integer number (60512256).

Almost surely, 22333414020 is an apocalyptic number.

2333414020 is a gapful number since it is divisible by the number (20) 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 2333414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904588288).

2333414020 is an abundant number, since it is smaller than the sum of its proper divisors (3475762556).

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

2333414020 is a wasteful number, since it uses less digits than its factorization.

2333414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2333414020 is about 48305.4243330912. The cubic root of 2333414020 is about 1326.3676908779.

Adding to 2333414020 its reverse (204143332), we get a palindrome (2537557352).

The spelling of 2333414020 in words is "two billion, three hundred thirty-three million, four hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 223 310 434 446 620 868 892 1085 1115 1561 2170 2230 2411 3122 4340 4460 4822 6244 6913 7805 9644 12055 13826 15610 16877 24110 27652 31220 33754 34565 48220 48391 67508 69130 74741 84385 96782 138260 149482 168770 193564 241955 298964 337540 373705 483910 523187 537653 747410 967820 1046374 1075306 1494820 2092748 2150612 2615935 2688265 3763571 5231870 5376530 7527142 10463740 10753060 15054284 16667243 18817855 33334486 37635710 66668972 75271420 83336215 116670701 166672430 233341402 333344860 466682804 583353505 1166707010 2333414020