Search a number
-
+
2353151225340 = 22325353136127211
BaseRepresentation
bin100010001111100010101…
…111100010110111111100
322022221220011011212211200
4202033202233202313330
5302023223203202330
65001004525215500
7332003165251146
oct42174257426774
98287804155750
102353151225340
11827a6957a3a3
12320081701590
13140b93c54a76
1481c70a51c96
15413269e7a60
hex223e2be2dfc

2353151225340 has 144 divisors (see below), whose sum is σ = 7163635411296. Its totient is φ = 625246617600.

The previous prime is 2353151225323. The next prime is 2353151225353. The reversal of 2353151225340 is 435221513532.

2353151225340 is a `hidden beast` number, since 2 + 3 + 53 + 1 + 51 + 22 + 534 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2353151225295 and 2353151225304.

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, 86464335 + ... + 86491545.

It is an arithmetic number, because the mean of its divisors is an integer number (49747468134).

Almost surely, 22353151225340 is an apocalyptic number.

2353151225340 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 2353151225340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581817705648).

2353151225340 is an abundant number, since it is smaller than the sum of its proper divisors (4810484185956).

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

2353151225340 is a wasteful number, since it uses less digits than its factorization.

2353151225340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28940 (or 28935 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 2353151225340 its reverse (435221513532), we get a palindrome (2788372738872).

The spelling of 2353151225340 in words is "two trillion, three hundred fifty-three billion, one hundred fifty-one million, two hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 1059 1361 1412 1765 2118 2722 3177 3530 4083 4236 5295 5444 6354 6805 7060 8166 10590 12249 12708 13610 15885 16332 20415 21180 24498 27211 27220 31770 40830 48996 54422 61245 63540 81633 81660 108844 122490 136055 163266 244899 244980 272110 326532 408165 480433 489798 544220 816330 960866 979596 1224495 1441299 1632660 1921732 2402165 2448990 2882598 4323897 4804330 4897980 5765196 7206495 8647794 9605483 9608660 14412990 17295588 19210966 21619485 28816449 28825980 37034171 38421932 43238970 48027415 57632898 74068342 86449347 86477940 96054830 111102513 115265796 144082245 148136684 172898694 185170855 192109660 222205026 288164490 333307539 345797388 370341710 432246735 444410052 555512565 576328980 666615078 740683420 864493470 1111025130 1333230156 1666537695 1728986940 2222050260 3333075390 6666150780 13073062363 26146124726 39219187089 52292249452 65365311815 78438374178 117657561267 130730623630 156876748356 196095935445 235315122534 261461247260 392191870890 470630245068 588287806335 784383741780 1176575612670 2353151225340