Search a number
-
+
2325232325232 = 2432291573546551
BaseRepresentation
bin100001110101100010101…
…001011001001001110000
322020021211102211210211100
4201311202221121021300
5301044033433401412
64540110314244400
7326664265441005
oct41654251311160
98207742753740
102325232325232
11817142035533
1231678b726700
1313b364a90c2b
1480782b738ac
1540740950edc
hex21d62a59270

2325232325232 has 120 divisors (see below), whose sum is σ = 6774694561440. Its totient is φ = 743583859200.

The previous prime is 2325232325201. The next prime is 2325232325233.

2325232325232 is a `hidden beast` number, since 2 + 3 + 2 + 52 + 323 + 252 + 32 = 666.

2325232325232 is nontrivially palindromic in base 10.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325232325233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1117644 + ... + 2428907.

It is an arithmetic number, because the mean of its divisors is an integer number (56455788012).

Almost surely, 22325232325232 is an apocalyptic number.

It is an amenable number.

2325232325232 is an abundant number, since it is smaller than the sum of its proper divisors (4449462236208).

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

2325232325232 is a wasteful number, since it uses less digits than its factorization.

2325232325232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546751 (or 3546742 counting only the distinct ones).

The product of its digits is 259200, while the sum is 36.

The spelling of 2325232325232 in words is "two trillion, three hundred twenty-five billion, two hundred thirty-two million, three hundred twenty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 157 174 232 261 314 348 464 471 522 628 696 942 1044 1256 1392 1413 1884 2088 2512 2826 3768 4176 4553 5652 7536 9106 11304 13659 18212 22608 27318 36424 40977 54636 72848 81954 109272 163908 218544 327816 655632 3546551 7093102 10639653 14186204 21279306 28372408 31918959 42558612 56744816 63837918 85117224 102849979 127675836 170234448 205699958 255351672 308549937 411399916 510703344 556808507 617099874 822799832 925649811 1113617014 1234199748 1645599664 1670425521 1851299622 2227234028 2468399496 3340851042 3702599244 4454468056 4936798992 5011276563 6681702084 7405198488 8908936112 10022553126 13363404168 14810396976 16147446703 20045106252 26726808336 32294893406 40090212504 48442340109 64589786812 80180425008 96884680218 129179573624 145327020327 193769360436 258359147248 290654040654 387538720872 581308081308 775077441744 1162616162616 2325232325232