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14022234200 = 2352132735683
BaseRepresentation
bin11010000111100101…
…00101000001011000
31100012020022022011102
431003302211001120
5212204142443300
610235225050532
71004325011162
oct150362450130
940166268142
1014022234200
115a46205107
122874026a48
1314260c5200
14970423932
155710760d5
hex343ca5058

14022234200 has 144 divisors (see below), whose sum is σ = 35792318520. Its totient is φ = 5105617920.

The previous prime is 14022234181. The next prime is 14022234263. The reversal of 14022234200 is 243222041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2464559 + ... + 2470241.

Almost surely, 214022234200 is an apocalyptic number.

14022234200 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 14022234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17896159260).

14022234200 is an abundant number, since it is smaller than the sum of its proper divisors (21770084320).

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

14022234200 is a wasteful number, since it uses less digits than its factorization.

14022234200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5798 (or 5776 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 14022234200 its reverse (243222041), we get a palindrome (14265456241).

The spelling of 14022234200 in words is "fourteen billion, twenty-two million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 73 100 104 130 146 169 200 260 292 325 338 365 520 584 650 676 730 845 949 1300 1352 1460 1690 1825 1898 2600 2920 3380 3650 3796 4225 4745 5683 6760 7300 7592 8450 9490 11366 12337 14600 16900 18980 22732 23725 24674 28415 33800 37960 45464 47450 49348 56830 61685 73879 94900 98696 113660 123370 142075 147758 189800 227320 246740 284150 295516 308425 369395 414859 493480 568300 591032 616850 738790 829718 960427 1136600 1233700 1477580 1659436 1846975 1920854 2074295 2467400 2955160 3318872 3693950 3841708 4148590 4802135 5393167 7387900 7683416 8297180 9604270 10371475 10786334 14775800 16594360 19208540 20742950 21572668 24010675 26965835 38417080 41485900 43145336 48021350 53931670 70111171 82971800 96042700 107863340 134829175 140222342 192085400 215726680 269658350 280444684 350555855 539316700 560889368 701111710 1078633400 1402223420 1752779275 2804446840 3505558550 7011117100 14022234200