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6244426100 = 225211311491229
BaseRepresentation
bin1011101000011001…
…00110000101110100
3121010011222201020202
411310030212011310
5100242033113400
62511343420032
7310512513623
oct56414460564
917104881222
106244426100
1127148a7830
1212632b4618
137869093b3
144334776ba
1526831a4d5
hex174326174

6244426100 has 144 divisors (see below), whose sum is σ = 15374016000. Its totient is φ = 2180928000.

The previous prime is 6244426093. The next prime is 6244426121. The reversal of 6244426100 is 16244426.

It is a happy number.

It is a super-2 number, since 2×62444261002 = 77985714636722420000, which contains 22 as substring.

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, 5080286 + ... + 5081514.

It is an arithmetic number, because the mean of its divisors is an integer number (106764000).

Almost surely, 26244426100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6244426100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7687008000).

6244426100 is an abundant number, since it is smaller than the sum of its proper divisors (9129589900).

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

6244426100 is a wasteful number, since it uses less digits than its factorization.

6244426100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 6244426100 is about 79021.6812020600. The cubic root of 6244426100 is about 1841.4680018386.

The spelling of 6244426100 in words is "six billion, two hundred forty-four million, four hundred twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 149 155 220 275 298 310 341 550 596 620 682 745 775 1100 1229 1364 1490 1550 1639 1705 2458 2980 3100 3278 3410 3725 4619 4916 6145 6556 6820 7450 8195 8525 9238 12290 13519 14900 16390 17050 18476 23095 24580 27038 30725 32780 34100 38099 40975 46190 50809 54076 61450 67595 76198 81950 92380 101618 115475 122900 135190 152396 163900 183121 190495 203236 230950 254045 270380 337975 366242 380990 419089 461900 508090 675950 732484 761980 838178 915605 952475 1016180 1270225 1351900 1676356 1831210 1904950 2014331 2095445 2540450 3662420 3809900 4028662 4190890 4578025 5080900 5676751 8057324 8381780 9156050 10071655 10477225 11353502 18312100 20143310 20954450 22707004 28383755 40286620 41908900 50358275 56767510 62444261 100716550 113535020 124888522 141918775 201433100 249777044 283837550 312221305 567675100 624442610 1248885220 1561106525 3122213050 6244426100