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2330100200 = 235247487509
BaseRepresentation
bin1000101011100010…
…1000000111101000
320000101111100120102
42022320220013220
514233001201300
61023114044532
7111512345021
oct21270500750
96011440512
102330100200
11a9630a84a
12550419748
132b198391c
14181665c48
15d986a0d5
hex8ae281e8

2330100200 has 96 divisors (see below), whose sum is σ = 5555001600. Its totient is φ = 908547840.

The previous prime is 2330100193. The next prime is 2330100263. The reversal of 2330100200 is 20010332.

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 23 ways as a sum of consecutive naturals, for example, 4577546 + ... + 4578054.

It is an arithmetic number, because the mean of its divisors is an integer number (57864600).

Almost surely, 22330100200 is an apocalyptic number.

2330100200 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 2330100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777500800).

2330100200 is an abundant number, since it is smaller than the sum of its proper divisors (3224901400).

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

2330100200 is a wasteful number, since it uses less digits than its factorization.

2330100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2330100200 is about 48271.1114435953. Note that the first 3 decimals coincide. The cubic root of 2330100200 is about 1325.7395088689.

Adding to 2330100200 its reverse (20010332), we get a palindrome (2350110532).

The spelling of 2330100200 in words is "two billion, three hundred thirty million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 487 509 940 974 1018 1175 1880 1948 2036 2350 2435 2545 3896 4072 4700 4870 5090 9400 9740 10180 12175 12725 19480 20360 22889 23923 24350 25450 45778 47846 48700 50900 91556 95692 97400 101800 114445 119615 183112 191384 228890 239230 247883 457780 478460 495766 572225 598075 915560 956920 991532 1144450 1196150 1239415 1983064 2288900 2392300 2478830 4577800 4784600 4957660 6197075 9915320 11650501 12394150 23301002 24788300 46602004 49576600 58252505 93204008 116505010 233010020 291262525 466020040 582525050 1165050100 2330100200