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14222433330100 = 22521718114619623
BaseRepresentation
bin1100111011110110101100…
…0101100010001110110100
31212100122120211110212212201
43032331223011202032310
53331010020413030400
650125410133154244
72665352104433242
oct316755305421664
955318524425781
1014222433330100
114593777922816
1217184a018b984
137c2228b06338
14372525a8d792
15199e58a4a06a
hexcef6b1623b4

14222433330100 has 72 divisors (see below), whose sum is σ = 32696183435328. Its totient is φ = 5351370124800.

The previous prime is 14222433330023. The next prime is 14222433330173. The reversal of 14222433330100 is 103333422241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 768889 + ... + 5388511.

It is an arithmetic number, because the mean of its divisors is an integer number (454113658824).

Almost surely, 214222433330100 is an apocalyptic number.

14222433330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14222433330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16348091717664).

14222433330100 is an abundant number, since it is smaller than the sum of its proper divisors (18473750105228).

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

14222433330100 is a wasteful number, since it uses less digits than its factorization.

14222433330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621465 (or 4621458 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 14222433330100 its reverse (103333422241), we get a palindrome (14325766752341).

The spelling of 14222433330100 in words is "fourteen trillion, two hundred twenty-two billion, four hundred thirty-three million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1811 3622 7244 9055 18110 30787 36220 45275 61574 90550 123148 153935 181100 307870 615740 769675 1539350 3078700 4619623 9239246 18478492 23098115 46196230 78533591 92392460 115490575 157067182 230981150 314134364 392667955 461962300 785335910 1570671820 1963339775 3926679550 7853359100 8366137253 16732274506 33464549012 41830686265 83661372530 142224333301 167322745060 209153431325 284448666602 418306862650 568897333204 711121666505 836613725300 1422243333010 2844486666020 3555608332525 7111216665050 14222433330100