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2134054200 = 2335217209221
BaseRepresentation
bin111111100110011…
…0001010100111000
312111201121012000110
41333030301110320
513332304213300
6551432104320
7103612106235
oct17714612470
95451535013
102134054200
119a5688563
124b68350a0
13280182285
141635d278c
15c7542550
hex7f331538

2134054200 has 96 divisors (see below), whose sum is σ = 7004752560. Its totient is φ = 535603200.

The previous prime is 2134054199. The next prime is 2134054213. The reversal of 2134054200 is 24504312.

2134054200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 94411 + ... + 114810.

Almost surely, 22134054200 is an apocalyptic number.

2134054200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134054200 is an abundant number, since it is smaller than the sum of its proper divisors (4870698360).

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

2134054200 is a wasteful number, since it uses less digits than its factorization.

2134054200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209257 (or 209248 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2134054200 is about 46195.8244866352. The cubic root of 2134054200 is about 1287.4641608775.

Adding to 2134054200 its reverse (24504312), we get a palindrome (2158558512).

The spelling of 2134054200 in words is "two billion, one hundred thirty-four million, fifty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 209221 418442 627663 836884 1046105 1255326 1673768 2092210 2510652 3138315 3556757 4184420 5021304 5230525 6276630 7113514 8368840 10461050 10670271 12553260 14227028 15691575 17783785 20922100 21340542 25106520 28454056 31383150 35567570 41844200 42681084 53351355 62766300 71135140 85362168 88918925 106702710 125532600 142270280 177837850 213405420 266756775 355675700 426810840 533513550 711351400 1067027100 2134054200