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2114134500 = 223538316981
BaseRepresentation
bin111111000000011…
…0010000111100100
312110100010011022210
41332000302013210
513312204301000
6545441123420
7103250563302
oct17600620744
95410104283
102114134500
119954125a5
124b0029570
13278cc957a
14160ac9272
15c590a350
hex7e0321e4

2114134500 has 96 divisors (see below), whose sum is σ = 6230899584. Its totient is φ = 556944000.

The previous prime is 2114134499. The next prime is 2114134511. The reversal of 2114134500 is 54314112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116010 + ... + 132990.

It is an arithmetic number, because the mean of its divisors is an integer number (64905204).

Almost surely, 22114134500 is an apocalyptic number.

2114134500 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 2114134500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115449792).

2114134500 is an abundant number, since it is smaller than the sum of its proper divisors (4116765084).

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

2114134500 is a wasteful number, since it uses less digits than its factorization.

2114134500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17086 (or 17074 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2114134500 is about 45979.7183549443. The cubic root of 2114134500 is about 1283.4458138701.

Adding to 2114134500 its reverse (54314112), we get a palindrome (2168448612).

The spelling of 2114134500 in words is "two billion, one hundred fourteen million, one hundred thirty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 125 150 166 249 250 300 332 375 415 498 500 750 830 996 1245 1500 1660 2075 2490 4150 4980 6225 8300 10375 12450 16981 20750 24900 31125 33962 41500 50943 62250 67924 84905 101886 124500 169810 203772 254715 339620 424525 509430 849050 1018860 1273575 1409423 1698100 2122625 2547150 2818846 4228269 4245250 5094300 5637692 6367875 7047115 8456538 8490500 12735750 14094230 16913076 21141345 25471500 28188460 35235575 42282690 70471150 84565380 105706725 140942300 176177875 211413450 352355750 422826900 528533625 704711500 1057067250 2114134500