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2000523330 = 2325134613709
BaseRepresentation
bin111011100111101…
…1001000001000010
312011102100010002200
41313033121001002
513044113221310
6530302054030
7100401111351
oct16717310102
95142303080
102000523330
11937274873
12479b7a316
1325b5cb620
1414d993998
15ba9679c0
hex773d9042

2000523330 has 96 divisors (see below), whose sum is σ = 5615129520. Its totient is φ = 491235840.

The previous prime is 2000523313. The next prime is 2000523367. The reversal of 2000523330 is 333250002.

It can be written as a sum of positive squares in 8 ways, for example, as 180391761 + 1820131569 = 13431^2 + 42663^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537516 + ... + 541224.

Almost surely, 22000523330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000523330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807564760).

2000523330 is an abundant number, since it is smaller than the sum of its proper divisors (3614606190).

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

2000523330 is a wasteful number, since it uses less digits than its factorization.

2000523330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 2000523330 is about 44727.2101745682. The cubic root of 2000523330 is about 1260.0309327251.

Adding to 2000523330 its reverse (333250002), we get a palindrome (2333773332).

The spelling of 2000523330 in words is "two billion, five hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 461 585 922 1170 1383 2305 2766 3709 4149 4610 5993 6915 7418 8298 11127 11986 13830 17979 18545 20745 22254 29965 33381 35958 37090 41490 48217 53937 55635 59930 66762 89895 96434 107874 111270 144651 166905 179790 241085 269685 289302 333810 433953 482170 539370 723255 867906 1446510 1709849 2169765 3419698 4339530 5129547 8549245 10259094 15388641 17098490 22228037 25647735 30777282 44456074 51295470 66684111 76943205 111140185 133368222 153886410 200052333 222280370 333420555 400104666 666841110 1000261665 2000523330