Search a number
-
+
2259358129820 = 2251119540516299
BaseRepresentation
bin100000111000001100001…
…111010001111010011100
321222222210112220221212002
4200320030033101322130
5244004131140123240
64445533525501432
7322143000143111
oct40701417217234
97888715827762
102259358129820
117a1208843520
12305a66571878
13135097344c8c
147b4d409c908
153db87665d15
hex20e0c3d1e9c

2259358129820 has 48 divisors (see below), whose sum is σ = 5448404304000. Its totient is φ = 778343469120.

The previous prime is 2259358129807. The next prime is 2259358129849. The reversal of 2259358129820 is 289218539522.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 270253970 + ... + 270262329.

It is an arithmetic number, because the mean of its divisors is an integer number (113508423000).

Almost surely, 22259358129820 is an apocalyptic number.

2259358129820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2259358129820 is an abundant number, since it is smaller than the sum of its proper divisors (3189046174180).

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

2259358129820 is a wasteful number, since it uses less digits than its factorization.

2259358129820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540516338 (or 540516336 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 56.

The spelling of 2259358129820 in words is "two trillion, two hundred fifty-nine billion, three hundred fifty-eight million, one hundred twenty-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 540516299 1081032598 2162065196 2702581495 5405162990 5945679289 10269809681 10810325980 11891358578 20539619362 23782717156 29728396445 41079238724 51349048405 59456792890 102698096810 112967906491 118913585780 205396193620 225935812982 451871625964 564839532455 1129679064910 2259358129820