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2300014200 = 2335211348487
BaseRepresentation
bin1000100100010111…
…0110111001111000
312221021212211100010
42021011312321320
514202300423300
61020121141520
7110665540521
oct21105667170
95837784303
102300014200
11a80330790
1254232a8a0
132a867b763
1417b673848
15d6dc5a50
hex89176e78

2300014200 has 96 divisors (see below), whose sum is σ = 7778252160. Its totient is φ = 557577600.

The previous prime is 2300014193. The next prime is 2300014207. The reversal of 2300014200 is 24100032.

2300014200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2300014193) and next prime (2300014207).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300014207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167644 + ... + 180843.

It is an arithmetic number, because the mean of its divisors is an integer number (81023460).

Almost surely, 22300014200 is an apocalyptic number.

2300014200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300014200 is an abundant number, since it is smaller than the sum of its proper divisors (5478237960).

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

2300014200 is a wasteful number, since it uses less digits than its factorization.

2300014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348517 (or 348508 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2300014200 is about 47958.4632781327. The cubic root of 2300014200 is about 1320.0088383247.

Adding to 2300014200 its reverse (24100032), we get a palindrome (2324114232).

The spelling of 2300014200 in words is "two billion, three hundred million, fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 348487 696974 1045461 1393948 1742435 2090922 2787896 3484870 3833357 4181844 5227305 6969740 7666714 8363688 8712175 10454610 11500071 13939480 15333428 17424350 19166785 20909220 23000142 26136525 30666856 34848700 38333570 41818440 46000284 52273050 57500355 69697400 76667140 92000568 95833925 104546100 115000710 153334280 191667850 209092200 230001420 287501775 383335700 460002840 575003550 766671400 1150007100 2300014200