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2231240025352 = 2313178366123003
BaseRepresentation
bin100000011110000000010…
…001001110010100001000
321220022012221202020211111
4200132000101032110020
5243024034421302402
64425003441140104
7320126131201132
oct40360021162410
97808187666744
102231240025352
1179029990a458
1230051992a634
13132535b15040
1479dc7968052
153d08dd709d7
hex2078044e508

2231240025352 has 128 divisors (see below), whose sum is σ = 4835400312960. Its totient is φ = 956058808320.

The previous prime is 2231240025349. The next prime is 2231240025361. The reversal of 2231240025352 is 2535200421322.

It is a super-3 number, since 3×22312400253523 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96986283 + ... + 97009285.

It is an arithmetic number, because the mean of its divisors is an integer number (37776564945).

Almost surely, 22231240025352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231240025352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417700156480).

2231240025352 is an abundant number, since it is smaller than the sum of its proper divisors (2604160287608).

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

2231240025352 is a wasteful number, since it uses less digits than its factorization.

2231240025352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23783 (or 23779 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 2231240025352 its reverse (2535200421322), we get a palindrome (4766440446674).

The spelling of 2231240025352 in words is "two trillion, two hundred thirty-one billion, two hundred forty million, twenty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 83 104 136 166 221 332 442 661 664 884 1079 1322 1411 1768 2158 2644 2822 4316 5288 5644 8593 8632 11237 11288 17186 18343 22474 23003 34372 36686 44948 46006 54863 68744 73372 89896 92012 109726 146081 146744 184024 219452 292162 299039 391051 438904 584324 598078 713219 782102 932671 1168648 1196156 1426438 1564204 1865342 1909249 2392312 2852876 3128408 3730684 3818498 5083663 5705752 7461368 7636996 10167326 12124723 15204983 15273992 20334652 24249446 24820237 30409966 32457233 40669304 48498892 49640474 60819932 64914466 96997784 99280948 121639864 129828932 197664779 198561896 258484711 259657864 395329558 421944029 516969422 790659116 843888058 1033938844 1262013589 1581318232 1687776116 2067877688 2524027178 3360301243 3375552232 5048054356 6720602486 10096108712 13441204972 16406176657 21454231013 26882409944 32812353314 42908462026 65624706628 85816924052 131249413256 171633848104 278905003169 557810006338 1115620012676 2231240025352