Search a number
-
+
14122300200 = 2335267351301
BaseRepresentation
bin11010010011100000…
…10011001100101000
31100110012121011220120
431021300103030220
5212410302101300
610253201523240
71006651366611
oct151160231450
940405534816
1014122300200
115a97741188
1228a1643520
131440a5ca68
1497d830c08
15579c403a0
hex349c13328

14122300200 has 96 divisors (see below), whose sum is σ = 44432676960. Its totient is φ = 3709728000.

The previous prime is 14122300187. The next prime is 14122300207. The reversal of 14122300200 is 200322141.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14122300200.

It is not an unprimeable number, because it can be changed into a prime (14122300207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135451 + ... + 215850.

It is an arithmetic number, because the mean of its divisors is an integer number (462840385).

Almost surely, 214122300200 is an apocalyptic number.

14122300200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14122300200 is an abundant number, since it is smaller than the sum of its proper divisors (30310376760).

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

14122300200 is a wasteful number, since it uses less digits than its factorization.

14122300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351387 (or 351378 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 14122300200 its reverse (200322141), we get a palindrome (14322622341).

The spelling of 14122300200 in words is "fourteen billion, one hundred twenty-two million, three hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 134 150 200 201 268 300 335 402 536 600 670 804 1005 1340 1608 1675 2010 2680 3350 4020 5025 6700 8040 10050 13400 20100 40200 351301 702602 1053903 1405204 1756505 2107806 2810408 3513010 4215612 5269515 7026020 8431224 8782525 10539030 14052040 17565050 21078060 23537167 26347575 35130100 42156120 47074334 52695150 70260200 70611501 94148668 105390300 117685835 141223002 188297336 210780600 235371670 282446004 353057505 470743340 564892008 588429175 706115010 941486680 1176858350 1412230020 1765287525 2353716700 2824460040 3530575050 4707433400 7061150100 14122300200