Search a number
-
+
2231322032232 = 2332314721270133
BaseRepresentation
bin100000011110000101001…
…010000011100001101000
321220022102200001122010100
4200132011022003201220
5243024221420012412
64425015530545400
7320131145223216
oct40360512034150
97808380048110
102231322032232
11790331131437
12300541298260
13132549ac8a17
1479dd47d3cb6
153d09616dedc
hex20785283868

2231322032232 has 96 divisors (see below), whose sum is σ = 6370830535680. Its totient is φ = 704466771840.

The previous prime is 2231322032161. The next prime is 2231322032287. The reversal of 2231322032232 is 2322302231322.

2231322032232 is a `hidden beast` number, since 2 + 2 + 313 + 2 + 20 + 322 + 3 + 2 = 666.

It is a super-3 number, since 3×22313220322323 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231322032196 and 2231322032205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10530163 + ... + 10739970.

It is an arithmetic number, because the mean of its divisors is an integer number (66362818080).

Almost surely, 22231322032232 is an apocalyptic number.

It is an amenable number.

2231322032232 is an abundant number, since it is smaller than the sum of its proper divisors (4139508503448).

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

2231322032232 is a wasteful number, since it uses less digits than its factorization.

2231322032232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21270223 (or 21270216 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2231322032232 its reverse (2322302231322), we get a palindrome (4553624263554).

The spelling of 2231322032232 in words is "two trillion, two hundred thirty-one billion, three hundred twenty-two million, thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 47 62 72 93 94 124 141 186 188 248 279 282 372 376 423 558 564 744 846 1116 1128 1457 1692 2232 2914 3384 4371 5828 8742 11656 13113 17484 26226 34968 52452 104904 21270133 42540266 63810399 85080532 127620798 170161064 191431197 255241596 382862394 510483192 659374123 765724788 999696251 1318748246 1531449576 1978122369 1999392502 2637496492 2999088753 3956244738 3998785004 5274992984 5934367107 5998177506 7912489476 7997570008 8997266259 11868734214 11996355012 15824978952 17994532518 23737468428 23992710024 30990583781 35989065036 47474936856 61981167562 71978130072 92971751343 123962335124 185943502686 247924670248 278915254029 371887005372 557830508058 743774010744 1115661016116 2231322032232