Search a number
-
+
2140234100 = 2252191126439
BaseRepresentation
bin111111110010001…
…0110000101110100
312112011020011020122
41333210112011310
513340344442400
6552212351112
7104015455364
oct17744260564
95464204218
102140234100
119a9119614
124b8915498
13281537114
141643609a4
15c7d63685
hex7f916174

2140234100 has 36 divisors (see below), whose sum is σ = 4888749600. Its totient is φ = 811035360.

The previous prime is 2140234097. The next prime is 2140234121. The reversal of 2140234100 is 14320412.

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 11 ways as a sum of consecutive naturals, for example, 561320 + ... + 565119.

It is an arithmetic number, because the mean of its divisors is an integer number (135798600).

Almost surely, 22140234100 is an apocalyptic number.

2140234100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140234100 is an abundant number, since it is smaller than the sum of its proper divisors (2748515500).

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

2140234100 is a wasteful number, since it uses less digits than its factorization.

2140234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126472 (or 1126465 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2140234100 is about 46262.6642120836. The cubic root of 2140234100 is about 1288.7057307060.

Adding to 2140234100 its reverse (14320412), we get a palindrome (2154554512).

The spelling of 2140234100 in words is "two billion, one hundred forty million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 1126439 2252878 4505756 5632195 11264390 21402341 22528780 28160975 42804682 56321950 85609364 107011705 112643900 214023410 428046820 535058525 1070117050 2140234100