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2230131430000 = 24541271756009
BaseRepresentation
bin100000011100111110001…
…100010001001001110000
321220012100200201202220101
4200130332030101021300
5243014302121230000
64424301440122144
7320056510245535
oct40347614211160
97805320652811
102230131430000
1178a880064351
1230026a606354
131323ba244c66
1479d2062cd8c
153d02688ce6a
hex2073e311270

2230131430000 has 100 divisors (see below), whose sum is σ = 5441889038080. Its totient is φ = 885028032000.

The previous prime is 2230131429983. The next prime is 2230131430049. The reversal of 2230131430000 is 341310322.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 2230131430000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 391996 + ... + 2148004.

Almost surely, 22230131430000 is an apocalyptic number.

2230131430000 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 2230131430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720944519040).

2230131430000 is an abundant number, since it is smaller than the sum of its proper divisors (3211757608080).

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

2230131430000 is a wasteful number, since it uses less digits than its factorization.

2230131430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756164 (or 1756143 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2230131430000 its reverse (341310322), we get a palindrome (2230472740322).

The spelling of 2230131430000 in words is "two trillion, two hundred thirty billion, one hundred thirty-one million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 127 200 250 254 400 500 508 625 635 1000 1016 1250 1270 2000 2032 2500 2540 3175 5000 5080 6350 10000 10160 12700 15875 25400 31750 50800 63500 79375 127000 158750 254000 317500 635000 1270000 1756009 3512018 7024036 8780045 14048072 17560090 28096144 35120180 43900225 70240360 87800450 140480720 175600900 219501125 223013143 351201800 439002250 446026286 702403600 878004500 892052572 1097505625 1115065715 1756009000 1784105144 2195011250 2230131430 3512018000 3568210288 4390022500 4460262860 5575328575 8780045000 8920525720 11150657150 17560090000 17841051440 22301314300 27876642875 44602628600 55753285750 89205257200 111506571500 139383214375 223013143000 278766428750 446026286000 557532857500 1115065715000 2230131430000