Search a number
-
+
224103445421300 = 22528327419850571
BaseRepresentation
bin110010111101001000100110…
…010000011101110011110100
31002101111002011102121010220022
4302331020212100131303310
5213333202324011440200
62112343411312024312
765126640202043234
oct6275104620356364
91071432142533808
10224103445421300
1165451812637075
12211748ba532098
139807b30917bb3
143d4a943a73cc4
151ad96a1845885
hexcbd22641dcf4

224103445421300 has 72 divisors (see below), whose sum is σ = 492343172832672. Its totient is φ = 88529042704000.

The previous prime is 224103445421231. The next prime is 224103445421333. The reversal of 224103445421300 is 3124544301422.

224103445421300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17825015 + ... + 27675585.

It is an arithmetic number, because the mean of its divisors is an integer number (6838099622676).

Almost surely, 2224103445421300 is an apocalyptic number.

224103445421300 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 224103445421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246171586416336).

224103445421300 is an abundant number, since it is smaller than the sum of its proper divisors (268239727411372).

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

224103445421300 is a wasteful number, since it uses less digits than its factorization.

224103445421300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9853409 (or 9853402 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 224103445421300 its reverse (3124544301422), we get a palindrome (227227989722722).

The spelling of 224103445421300 in words is "two hundred twenty-four trillion, one hundred three billion, four hundred forty-five million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 2741 4150 5482 8300 10964 13705 27410 54820 68525 137050 227503 274100 455006 910012 1137515 2275030 4550060 5687575 9850571 11375150 19701142 22750300 39402284 49252855 98505710 197011420 246264275 492528550 817597393 985057100 1635194786 3270389572 4087986965 8175973930 16351947860 20439934825 27000415111 40879869650 54000830222 81759739300 108001660444 135002075555 270004151110 540008302220 675010377775 1350020755550 2241034454213 2700041511100 4482068908426 8964137816852 11205172271065 22410344542130 44820689084260 56025861355325 112051722710650 224103445421300