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3329130200 = 2352114313511
BaseRepresentation
bin1100011001101110…
…0111111011011000
322121000100100002112
43012123213323120
523304224131300
61310202451452
7145333065644
oct30633477330
98530310075
103329130200
111459230880
1278ab03b88
13410941436
142381ddc24
15147408e35
hexc66e7ed8

3329130200 has 96 divisors (see below), whose sum is σ = 8465886720. Its totient is φ = 1207440000.

The previous prime is 3329130199. The next prime is 3329130209. The reversal of 3329130200 is 20319233.

It is a super-2 number, since 2×33291302002 = 22166215777104080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3329130209) 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 23 ways as a sum of consecutive naturals, for example, 946445 + ... + 949955.

It is an arithmetic number, because the mean of its divisors is an integer number (88186320).

Almost surely, 23329130200 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 3329130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232943360).

3329130200 is an abundant number, since it is smaller than the sum of its proper divisors (5136756520).

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

3329130200 is a wasteful number, since it uses less digits than its factorization.

3329130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 3329130200 is about 57698.6152346831. The cubic root of 3329130200 is about 1493.1734533784.

Adding to 3329130200 its reverse (20319233), we get a palindrome (3349449433).

The spelling of 3329130200 in words is "three billion, three hundred twenty-nine million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 431 440 550 862 1100 1724 2155 2200 3448 3511 4310 4741 7022 8620 9482 10775 14044 17240 17555 18964 21550 23705 28088 35110 37928 38621 43100 47410 70220 77242 86200 87775 94820 118525 140440 154484 175550 189640 193105 237050 308968 351100 386210 474100 702200 772420 948200 965525 1513241 1544840 1931050 3026482 3862100 6052964 7566205 7724200 12105928 15132410 16645651 30264820 33291302 37831025 60529640 66582604 75662050 83228255 133165208 151324100 166456510 302648200 332913020 416141275 665826040 832282550 1664565100 3329130200