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2017231968 = 253171816829
BaseRepresentation
bin111100000111100…
…1000010001100000
312012120210000001010
41320033020101200
513112402410333
6532100140520
7100663121523
oct17017102140
95176700033
102017231968
11945747264
12483697740
13261bcb8ab
14151ca2bba
15bc168563
hex783c8460

2017231968 has 96 divisors (see below), whose sum is σ = 5638520160. Its totient is φ = 629268480.

The previous prime is 2017231961. The next prime is 2017231973. The reversal of 2017231968 is 8691327102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2017231961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291978 + ... + 298806.

It is an arithmetic number, because the mean of its divisors is an integer number (58734585).

Almost surely, 22017231968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2017231968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819260080).

2017231968 is an abundant number, since it is smaller than the sum of its proper divisors (3621288192).

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

2017231968 is a wasteful number, since it uses less digits than its factorization.

2017231968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7040 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2017231968 is about 44913.6056000851. The cubic root of 2017231968 is about 1263.5291936169.

The spelling of 2017231968 in words is "two billion, seventeen million, two hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 181 204 272 362 408 543 544 724 816 1086 1448 1632 2172 2896 3077 4344 5792 6154 6829 8688 9231 12308 13658 17376 18462 20487 24616 27316 36924 40974 49232 54632 73848 81948 98464 109264 116093 147696 163896 218528 232186 295392 327792 348279 464372 655584 696558 928744 1236049 1393116 1857488 2472098 2786232 3708147 3714976 4944196 5572464 7416294 9888392 11144928 14832588 19776784 21012833 29665176 39553568 42025666 59330352 63038499 84051332 118660704 126076998 168102664 252153996 336205328 504307992 672410656 1008615984 2017231968