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2205140203329 = 371074617972671
BaseRepresentation
bin100000000101101100100…
…110010011011101000001
321210210212000022220211120
4200011230212103131001
5242112111343001304
64405005531302453
7315213300314430
oct40055446233501
97723760286746
102205140203329
1178021617a908
122b7454baaa29
1312cc36790b7b
1478a2d4cb117
153c5628500d9
hex2016c993741

2205140203329 has 64 divisors (see below), whose sum is σ = 3404513452032. Its totient is φ = 1243567238400.

The previous prime is 2205140203291. The next prime is 2205140203363. The reversal of 2205140203329 is 9233020415022.

It is not a de Polignac number, because 2205140203329 - 28 = 2205140203073 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2205140203329.

It is not an unprimeable number, because it can be changed into a prime (2205140203429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 825584664 + ... + 825587334.

It is an arithmetic number, because the mean of its divisors is an integer number (53195522688).

Almost surely, 22205140203329 is an apocalyptic number.

It is an amenable number.

2205140203329 is a deficient number, since it is larger than the sum of its proper divisors (1199373248703).

2205140203329 is a wasteful number, since it uses less digits than its factorization.

2205140203329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046.

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 2205140203329 in words is "two trillion, two hundred five billion, one hundred forty million, two hundred three thousand, three hundred twenty-nine".

Divisors: 1 3 7 21 107 321 461 749 797 1383 2247 2391 2671 3227 5579 8013 9681 16737 18697 49327 56091 85279 147981 255837 285797 345289 367417 596953 857391 1035867 1102251 1231331 1790859 2000579 2128787 2571919 3693993 6001737 6386361 7715757 8619317 14901509 25857951 39313619 44704527 117940857 131752417 227780209 275195333 395257251 683340627 825585999 922266919 981370807 1594461463 2766800757 2944112421 4783384389 6869595649 20608786947 105006676349 315020029047 735046734443 2205140203329