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4224114301230 = 2325616781113467
BaseRepresentation
bin111101011110000000110…
…101010001100100101110
3112221211011210021210221100
4331132000311101210232
51023201441230114410
612552310433143530
7614116330065255
oct75360065214456
915854153253840
104224114301230
11138948944523a
125827b33baba6
13248441cc3cb5
1410863bcd179c
1574d2b49c8c0
hex3d780d5192e

4224114301230 has 96 divisors (see below), whose sum is σ = 11164485971808. Its totient is φ = 1107791251200.

The previous prime is 4224114301219. The next prime is 4224114301247. The reversal of 4224114301230 is 321034114224.

4224114301230 is a `hidden beast` number, since 4 + 224 + 1 + 1 + 430 + 1 + 2 + 3 + 0 = 666.

4224114301230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42241143012302 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4224114301194 and 4224114301203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37170957 + ... + 37284423.

It is an arithmetic number, because the mean of its divisors is an integer number (116296728873).

Almost surely, 24224114301230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224114301230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582242985904).

4224114301230 is an abundant number, since it is smaller than the sum of its proper divisors (6940371670578).

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

4224114301230 is a wasteful number, since it uses less digits than its factorization.

4224114301230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120322 (or 120319 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4224114301230 its reverse (321034114224), we get a palindrome (4545148415454).

The spelling of 4224114301230 in words is "four trillion, two hundred twenty-four billion, one hundred fourteen million, three hundred one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 6781 13562 20343 33905 40686 61029 67810 101715 113467 122058 203430 226934 305145 340401 413641 567335 610290 680802 827282 1021203 1134670 1240923 1702005 2042406 2068205 2481846 3404010 3722769 4136410 5106015 6204615 6921487 7445538 10212030 12409230 13842974 18613845 20764461 34607435 37227690 41528922 62293383 69214870 103822305 124586766 207644610 311466915 622933830 769419727 1538839454 2308259181 3847098635 4616518362 6924777543 7694197270 11541295905 13849555086 23082591810 34623887715 46934603347 69247775430 93869206694 140803810041 234673016735 281607620082 422411430123 469346033470 704019050205 844822860246 1408038100410 2112057150615 4224114301230