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14222103430200 = 2335243551244319
BaseRepresentation
bin1100111011110101011101…
…1011000100010000111000
31212100121201211201020021220
43032331113123010100320
53331003331434231300
650125313310232040
72665340660353041
oct316752733042070
955317654636256
1014222103430200
114593618687076
1217184097b5620
137c21a5669cb3
143724d3d358c8
15199e39ad1da0
hexcef576c4438

14222103430200 has 96 divisors (see below), whose sum is σ = 45113835148800. Its totient is φ = 3704361816960.

The previous prime is 14222103430153. The next prime is 14222103430261. The reversal of 14222103430200 is 203430122241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275596360 + ... + 275647959.

It is an arithmetic number, because the mean of its divisors is an integer number (469935782800).

Almost surely, 214222103430200 is an apocalyptic number.

14222103430200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14222103430200 is an abundant number, since it is smaller than the sum of its proper divisors (30891731718600).

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

14222103430200 is a wasteful number, since it uses less digits than its factorization.

14222103430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551244381 (or 551244372 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14222103430200 its reverse (203430122241), we get a palindrome (14425533552441).

The spelling of 14222103430200 in words is "fourteen trillion, two hundred twenty-two billion, one hundred three million, four hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5160 6450 8600 12900 25800 551244319 1102488638 1653732957 2204977276 2756221595 3307465914 4409954552 5512443190 6614931828 8268664785 11024886380 13229863656 13781107975 16537329570 22049772760 23703505717 27562215950 33074659140 41343323925 47407011434 55124431900 66149318280 71110517151 82686647850 94814022868 110248863800 118517528585 142221034302 165373295700 189628045736 237035057170 284442068604 330746591400 355552585755 474070114340 568884137208 592587642925 711105171510 948140228680 1185175285850 1422210343020 1777762928775 2370350571700 2844420686040 3555525857550 4740701143400 7111051715100 14222103430200