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2330200312 = 2311311038293
BaseRepresentation
bin1000101011100100…
…0000100011111000
320000101200102220021
42022321000203320
514233012402222
61023120140224
7111513242626
oct21271004370
96011612807
102330200312
11a96378a90
12550467674
132b19ba36b
14181690516
15d9889ac7
hex8ae408f8

2330200312 has 64 divisors (see below), whose sum is σ = 4968437760. Its totient is φ = 1014940800.

The previous prime is 2330200291. The next prime is 2330200331. The reversal of 2330200312 is 2130020332.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 276838 + ... + 285130.

It is an arithmetic number, because the mean of its divisors is an integer number (77631840).

Almost surely, 22330200312 is an apocalyptic number.

2330200312 is a gapful number since it is divisible by the number (22) 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 2330200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484218880).

2330200312 is an abundant number, since it is smaller than the sum of its proper divisors (2638237448).

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

2330200312 is a wasteful number, since it uses less digits than its factorization.

2330200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8444 (or 8440 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2330200312 is about 48272.1484087874. The cubic root of 2330200312 is about 1325.7584952531.

Adding to 2330200312 its reverse (2130020332), we get a palindrome (4460220644).

The spelling of 2330200312 in words is "two billion, three hundred thirty million, two hundred thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 31 44 62 88 103 124 206 248 341 412 682 824 1133 1364 2266 2728 3193 4532 6386 8293 9064 12772 16586 25544 33172 35123 66344 70246 91223 140492 182446 257083 280984 364892 514166 729784 854179 1028332 1708358 2056664 2827913 3416716 5655826 6833432 9395969 11311652 18791938 22623304 26479549 37583876 52959098 75167752 105918196 211836392 291275039 582550078 1165100156 2330200312