Search a number
-
+
982114200 = 233352181873
BaseRepresentation
bin111010100010011…
…101111110011000
32112110000120102000
4322202131332120
54002410123300
6241242041000
733223555464
oct7242357630
92473016360
10982114200
11464417a31
12234aa9160
13128617182
14946134a4
155b34bc00
hex3a89df98

982114200 has 96 divisors (see below), whose sum is σ = 3382856400. Its totient is φ = 261895680.

The previous prime is 982114151. The next prime is 982114201. The reversal of 982114200 is 2411289.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982114201) by changing a digit.

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, 85537 + ... + 96336.

Almost surely, 2982114200 is an apocalyptic number.

982114200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

982114200 is an abundant number, since it is smaller than the sum of its proper divisors (2400742200).

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

982114200 is a wasteful number, since it uses less digits than its factorization.

982114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181898 (or 181883 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 982114200 is about 31338.7013132325. The cubic root of 982114200 is about 994.0021645588.

Adding to 982114200 its reverse (2411289), we get a palindrome (984525489).

The spelling of 982114200 in words is "nine hundred eighty-two million, one hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 181873 363746 545619 727492 909365 1091238 1454984 1636857 1818730 2182476 2728095 3273714 3637460 4364952 4546825 4910571 5456190 6547428 7274920 8184285 9093650 9821142 10912380 13094856 13640475 16368570 18187300 19642284 21824760 24552855 27280950 32737140 36374600 39284568 40921425 49105710 54561900 65474280 81842850 98211420 109123800 122764275 163685700 196422840 245528550 327371400 491057100 982114200