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2330004200 = 2352191035953
BaseRepresentation
bin1000101011100001…
…0000101011101000
320000101022110212212
42022320100223220
514232440113300
61023112024252
7111511465106
oct21270205350
96011273785
102330004200
11a96254707
12550392088
132b194c014
1418163cc76
15d984b935
hex8ae10ae8

2330004200 has 96 divisors (see below), whose sum is σ = 5758708800. Its totient is φ = 874229760.

The previous prime is 2330004191. The next prime is 2330004203. The reversal of 2330004200 is 24000332.

It is not an unprimeable number, because it can be changed into a prime (2330004203) by changing a digit.

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, 388424 + ... + 394376.

It is an arithmetic number, because the mean of its divisors is an integer number (59986550).

Almost surely, 22330004200 is an apocalyptic number.

2330004200 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 2330004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879354400).

2330004200 is an abundant number, since it is smaller than the sum of its proper divisors (3428704600).

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

2330004200 is a wasteful number, since it uses less digits than its factorization.

2330004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6091 (or 6082 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2330004200 is about 48270.1170497856. The cubic root of 2330004200 is about 1325.7213018206.

Adding to 2330004200 its reverse (24000332), we get a palindrome (2354004532).

The spelling of 2330004200 in words is "two billion, three hundred thirty million, four thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 103 152 190 200 206 380 412 475 515 760 824 950 1030 1900 1957 2060 2575 3800 3914 4120 5150 5953 7828 9785 10300 11906 15656 19570 20600 23812 29765 39140 47624 48925 59530 78280 97850 113107 119060 148825 195700 226214 238120 297650 391400 452428 565535 595300 613159 904856 1131070 1190600 1226318 2262140 2452636 2827675 3065795 4524280 4905272 5655350 6131590 11310700 11650021 12263180 15328975 22621400 23300042 24526360 30657950 46600084 58250105 61315900 93200168 116500210 122631800 233000420 291250525 466000840 582501050 1165002100 2330004200