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14022230200 = 2352112718161
BaseRepresentation
bin11010000111100101…
…00100000010111000
31100012020022002200021
431003302210002320
5212204142331300
610235225020224
71004324663416
oct150362440270
940166262607
1014022230200
115a46202100
122874024674
1314260c3444
149704222b6
15571074d1a
hex343ca40b8

14022230200 has 144 divisors (see below), whose sum is σ = 36344080080. Its totient is φ = 5026560000.

The previous prime is 14022230197. The next prime is 14022230203. The reversal of 14022230200 is 203222041.

It is an interprime number because it is at equal distance from previous prime (14022230197) and next prime (14022230203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14022230203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1714120 + ... + 1722280.

It is an arithmetic number, because the mean of its divisors is an integer number (252389445).

Almost surely, 214022230200 is an apocalyptic number.

14022230200 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 14022230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18172040040).

14022230200 is an abundant number, since it is smaller than the sum of its proper divisors (22321849880).

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

14022230200 is a wasteful number, since it uses less digits than its factorization.

14022230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270 (or 8250 counting only the distinct ones).

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

Adding to 14022230200 its reverse (203222041), we get a palindrome (14225452241).

The spelling of 14022230200 in words is "fourteen billion, twenty-two million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 71 88 100 110 121 142 200 220 242 275 284 355 440 484 550 568 605 710 781 968 1100 1210 1420 1562 1775 2200 2420 2840 3025 3124 3550 3905 4840 6050 6248 7100 7810 8161 8591 12100 14200 15620 16322 17182 19525 24200 31240 32644 34364 39050 40805 42955 65288 68728 78100 81610 85910 89771 156200 163220 171820 179542 204025 214775 326440 343640 359084 408050 429550 448855 579431 718168 816100 859100 897710 987481 1158862 1632200 1718200 1795420 1974962 2244275 2317724 2897155 3590840 3949924 4488550 4635448 4937405 5794310 6373741 7899848 8977100 9874810 11588620 12747482 14485775 17954200 19749620 23177240 24687025 25494964 28971550 31868705 39499240 49374050 50989928 57943100 63737410 70111151 98748100 115886200 127474820 140222302 159343525 197496200 254949640 280444604 318687050 350555755 560889208 637374100 701111510 1274748200 1402223020 1752778775 2804446040 3505557550 7011115100 14022230200