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244225214200 = 235211230373323
BaseRepresentation
bin1110001101110011110…
…1010000011011111000
3212100101110211100020201
43203130331100123320
513000133123323300
6304110121531544
723434062032362
oct3433475203370
9770343740221
10244225214200
1194636848200
123b3ba643bb4
131a051867c86
14bb6b8a9d32
156545d6b66a
hex38dcf506f8

244225214200 has 144 divisors (see below), whose sum is σ = 624530105640. Its totient is φ = 88753209600.

The previous prime is 244225214183. The next prime is 244225214203. The reversal of 244225214200 is 2412522442.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244225214203) 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, 73493739 + ... + 73497061.

Almost surely, 2244225214200 is an apocalyptic number.

244225214200 is a gapful number since it is divisible by the number (20) 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 244225214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312265052820).

244225214200 is an abundant number, since it is smaller than the sum of its proper divisors (380304891440).

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

244225214200 is a wasteful number, since it uses less digits than its factorization.

244225214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6398 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 244225214200 its reverse (2412522442), we get a palindrome (246637736642).

The spelling of 244225214200 in words is "two hundred forty-four billion, two hundred twenty-five million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 3037 3323 4840 6050 6074 6646 12100 12148 13292 15185 16615 24200 24296 26584 30370 33230 33407 36553 60740 66460 66814 73106 75925 83075 121480 132920 133628 146212 151850 166150 167035 182765 267256 292424 303700 332300 334070 365530 367477 402083 607400 664600 668140 731060 734954 804166 835175 913825 1336280 1462120 1469908 1608332 1670350 1827650 1837385 2010415 2939816 3216664 3340700 3655300 3674770 4020830 6681400 7310600 7349540 8041660 9186925 10052075 10091951 14699080 16083320 18373850 20104150 20183902 36747700 40208300 40367804 50459755 73495400 80416600 80735608 100919510 111011461 201839020 222022922 252298775 403678040 444045844 504597550 555057305 888091688 1009195100 1110114610 1221126071 2018390200 2220229220 2442252142 2775286525 4440458440 4884504284 5550573050 6105630355 9769008568 11101146100 12211260710 22202292200 24422521420 30528151775 48845042840 61056303550 122112607100 244225214200