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2133214335 = 325729293797
BaseRepresentation
bin111111100100110…
…0100010001111111
312111200000111221100
41333021210101333
513332100324320
6551402104143
7103602010530
oct17711442177
95450014840
102133214335
119a516455a
124b64ab053
1327cc49c05
14163454687
15c7428790
hex7f26447f

2133214335 has 96 divisors (see below), whose sum is σ = 4391936640. Its totient is φ = 937165824.

The previous prime is 2133214309. The next prime is 2133214399. The reversal of 2133214335 is 5334123312.

2133214335 is a `hidden beast` number, since 2 + 1 + 3 + 321 + 4 + 335 = 666.

It is not a de Polignac number, because 2133214335 - 211 = 2133212287 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2133214299 and 2133214308.

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 95 ways as a sum of consecutive naturals, for example, 2676157 + ... + 2676953.

It is an arithmetic number, because the mean of its divisors is an integer number (45749340).

Almost surely, 22133214335 is an apocalyptic number.

2133214335 is an abundant number, since it is smaller than the sum of its proper divisors (2258722305).

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

2133214335 is a wasteful number, since it uses less digits than its factorization.

2133214335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1134 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 2133214335 is about 46186.7333224596. The cubic root of 2133214335 is about 1287.2952432734.

Adding to 2133214335 its reverse (5334123312), we get a palindrome (7467337647).

The spelling of 2133214335 in words is "two billion, one hundred thirty-three million, two hundred fourteen thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 293 315 435 609 797 879 1015 1305 1465 1827 2051 2391 2637 3045 3985 4395 5579 6153 7173 8497 9135 10255 11955 13185 16737 18459 23113 25491 27895 30765 35865 42485 50211 59479 69339 76473 83685 92295 115565 127455 161791 178437 208017 233521 251055 297395 346695 382365 485373 535311 700563 808955 892185 1040085 1167605 1456119 1634647 2101689 2426865 2676555 3502815 4903941 6772109 7280595 8173235 10508445 14711823 20316327 24519705 33860545 47404763 60948981 73559115 101581635 142214289 237023815 304744905 426642867 711071445 2133214335