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244220404400 = 24527347251359
BaseRepresentation
bin1110001101110010101…
…0111010001010110000
3212100101010202222102222
43203130222322022300
513000130410420100
6304105430500212
723434003120550
oct3433452721260
9770333688388
10244220404400
1194634062565
123b3b8b04668
131a05087293b
14bb6adb7160
15654571b485
hex38dcaba2b0

244220404400 has 120 divisors (see below), whose sum is σ = 672494576640. Its totient is φ = 83491073280.

The previous prime is 244220404369. The next prime is 244220404403. The reversal of 244220404400 is 4404022442.

244220404400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 244220404400.

It is not an unprimeable number, because it can be changed into a prime (244220404403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845921 + ... + 1097279.

It is an arithmetic number, because the mean of its divisors is an integer number (5604121472).

Almost surely, 2244220404400 is an apocalyptic number.

244220404400 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 244220404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336247288320).

244220404400 is an abundant number, since it is smaller than the sum of its proper divisors (428274172240).

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

244220404400 is a wasteful number, since it uses less digits than its factorization.

244220404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251731 (or 251720 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 244220404400 its reverse (4404022442), we get a palindrome (248624426842).

The spelling of 244220404400 in words is "two hundred forty-four billion, two hundred twenty million, four hundred four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 347 350 400 560 694 700 1388 1400 1735 2429 2776 2800 3470 4858 5552 6940 8675 9716 12145 13880 17350 19432 24290 27760 34700 38864 48580 60725 69400 97160 121450 138800 194320 242900 251359 485800 502718 971600 1005436 1256795 1759513 2010872 2513590 3519026 4021744 5027180 6283975 7038052 8797565 10054360 12567950 14076104 17595130 20108720 25135900 28152208 35190260 43987825 50271800 70380520 87221573 87975650 100543600 140761040 174443146 175951300 348886292 351902600 436107865 610551011 697772584 703805200 872215730 1221102022 1395545168 1744431460 2180539325 2442204044 3052755055 3488862920 4361078650 4884408088 6105510110 6977725840 8722157300 9768816176 12211020220 15263775275 17444314600 24422040440 30527550550 34888629200 48844080880 61055101100 122110202200 244220404400