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2114107500 = 22354614621
BaseRepresentation
bin111111000000010…
…1011100001101100
312110100001210021210
41332000223201230
513312202420000
6545440354420
7103250421501
oct17600534154
95410053253
102114107500
119953a428a
124b0015a10
13278cba1ab
14160abd4a8
15c5902350
hex7e02b86c

2114107500 has 120 divisors (see below), whose sum is σ = 6266581552. Its totient is φ = 554400000.

The previous prime is 2114107459. The next prime is 2114107507. The reversal of 2114107500 is 57014112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2114107507) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 455190 + ... + 459810.

Almost surely, 22114107500 is an apocalyptic number.

2114107500 is a gapful number since it is divisible by the number (20) 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 2114107500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133290776).

2114107500 is an abundant number, since it is smaller than the sum of its proper divisors (4152474052).

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

2114107500 is a wasteful number, since it uses less digits than its factorization.

2114107500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 2114107500 is about 45979.4247462928. The cubic root of 2114107500 is about 1283.4403501394.

The spelling of 2114107500 in words is "two billion, one hundred fourteen million, one hundred seven thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 125 150 183 244 250 300 305 366 375 500 610 625 732 750 915 1220 1250 1500 1525 1830 1875 2500 3050 3660 3750 4575 4621 6100 7500 7625 9150 9242 13863 15250 18300 18484 22875 23105 27726 30500 38125 45750 46210 55452 69315 76250 91500 92420 114375 115525 138630 152500 228750 231050 277260 281881 346575 457500 462100 563762 577625 693150 845643 1127524 1155250 1386300 1409405 1691286 1732875 2310500 2818810 2888125 3382572 3465750 4228215 5637620 5776250 6931500 7047025 8456430 8664375 11552500 14094050 16912860 17328750 21141075 28188100 34657500 35235125 42282150 70470250 84564300 105705375 140940500 176175625 211410750 352351250 422821500 528526875 704702500 1057053750 2114107500