Search a number
-
+
1822203665140 = 2251961310397529
BaseRepresentation
bin11010100001000011110…
…011010101101011110100
320110012102111200012222211
4122201003303111223310
5214323333114241030
63513035300303204
7245435622410455
oct32410363255364
96405374605884
101822203665140
11642879511971
122551a43a1b04
13102aaa3357c1
14642a360712c
15325edeb712a
hex1a843cd5af4

1822203665140 has 96 divisors (see below), whose sum is σ = 4039019712000. Its totient is φ = 688637832192.

The previous prime is 1822203665131. The next prime is 1822203665171. The reversal of 1822203665140 is 415663022281.

It is a junction number, because it is equal to n+sod(n) for n = 1822203665093 and 1822203665102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242020896 + ... + 242028424.

It is an arithmetic number, because the mean of its divisors is an integer number (42073122000).

Almost surely, 21822203665140 is an apocalyptic number.

1822203665140 is a gapful number since it is divisible by the number (10) 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 1822203665140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019509856000).

1822203665140 is an abundant number, since it is smaller than the sum of its proper divisors (2216816046860).

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

1822203665140 is a wasteful number, since it uses less digits than its factorization.

1822203665140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209 (or 9207 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 1822203665140 in words is "one trillion, eight hundred twenty-two billion, two hundred three million, six hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 613 1039 1226 2078 2452 3065 4156 5195 6130 7529 10390 11647 12260 15058 19741 20780 23294 30116 37645 39482 46588 58235 75290 78964 98705 116470 143051 150580 197410 232940 286102 394820 572204 636907 715255 1273814 1430510 2547628 2861020 3184535 4615277 6369070 7822631 9230554 12101233 12738140 15645262 18461108 23076385 24202466 31290524 39113155 46152770 48404932 60506165 78226310 87690263 92305540 121012330 148629989 156452620 175380526 242024660 297259978 350761052 438451315 594519956 743149945 876902630 1486299890 1753805260 2972599780 4795272803 9590545606 19181091212 23976364015 47952728030 91110183257 95905456060 182220366514 364440733028 455550916285 911101832570 1822203665140