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14322022000 = 2453111350077
BaseRepresentation
bin11010101011010100…
…01011011001110000
31100222010102002201021
431111222023121300
5213312414201000
610325054345224
71014625115116
oct152552133160
940863362637
1014322022000
11608a454120
1229384bb214
13147324a540
1499c17dab6
1558c54211a
hex355a8b670

14322022000 has 160 divisors (see below), whose sum is σ = 40685770944. Its totient is φ = 4807296000.

The previous prime is 14322021991. The next prime is 14322022009. The reversal of 14322022000 is 22022341.

14322022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14322021991) and next prime (14322022009).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14322022009) 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 31 ways as a sum of consecutive naturals, for example, 260962 + ... + 311038.

Almost surely, 214322022000 is an apocalyptic number.

14322022000 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 14322022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20342885472).

14322022000 is an abundant number, since it is smaller than the sum of its proper divisors (26363748944).

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

14322022000 is a wasteful number, since it uses less digits than its factorization.

14322022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50124 (or 50108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 14322022000 its reverse (22022341), we get a palindrome (14344044341).

The spelling of 14322022000 in words is "fourteen billion, three hundred twenty-two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 125 130 143 176 200 208 220 250 260 275 286 325 400 440 500 520 550 572 650 715 880 1000 1040 1100 1144 1300 1375 1430 1625 2000 2200 2288 2600 2750 2860 3250 3575 4400 5200 5500 5720 6500 7150 11000 11440 13000 14300 17875 22000 26000 28600 35750 50077 57200 71500 100154 143000 200308 250385 286000 400616 500770 550847 651001 801232 1001540 1101694 1251925 1302002 2003080 2203388 2503850 2604004 2754235 3255005 4006160 4406776 5007700 5208008 5508470 6259625 6510010 7161011 8813552 10015400 10416016 11016940 12519250 13020020 13771175 14322022 16275025 20030800 22033880 25038500 26040040 27542350 28644044 32550050 35805055 44067760 50077000 52080080 55084700 57288088 65100100 68855875 71610110 81375125 100154000 110169400 114576176 130200200 137711750 143220220 162750250 179025275 220338800 260400400 275423500 286440440 325500500 358050550 550847000 572880880 651001000 716101100 895126375 1101694000 1302002000 1432202200 1790252750 2864404400 3580505500 7161011000 14322022000