Search a number
-
+
232257116883220 = 2251121311321652117
BaseRepresentation
bin110100110011110010010010…
…111100101100100100010100
31010110100120012210221122120021
4310303302102330230210110
5220420300033410230340
62141545240240514524
766631010604661402
oct6463622274544424
91113316183848507
10232257116883220
1168005765606100
1222070b9a61ba44
139c799a15cc680
14414d439536472
151bcb819865e4a
hexd33c92f2c914

232257116883220 has 144 divisors (see below), whose sum is σ = 577402028807184. Its totient is φ = 77953424947200.

The previous prime is 232257116883193. The next prime is 232257116883223. The reversal of 232257116883220 is 22388611752232.

It can be written as a sum of positive squares in 8 ways, for example, as 94933921507216 + 137323195376004 = 9743404^2 + 11718498^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232257116883223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355832602 + ... + 356484718.

It is an arithmetic number, because the mean of its divisors is an integer number (4009736311161).

Almost surely, 2232257116883220 is an apocalyptic number.

232257116883220 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 232257116883220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288701014403592).

232257116883220 is an abundant number, since it is smaller than the sum of its proper divisors (345144911923964).

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

232257116883220 is a wasteful number, since it uses less digits than its factorization.

232257116883220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663482 (or 663469 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 232257116883220 in words is "two hundred thirty-two trillion, two hundred fifty-seven billion, one hundred sixteen million, eight hundred eighty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1430 1573 2420 2860 3146 6292 7865 11321 15730 22642 31460 45284 56605 113210 124531 147173 226420 249062 294346 498124 588692 622655 652117 735865 1245310 1304234 1369841 1471730 1618903 2490620 2608468 2739682 2943460 3237806 3260585 5479364 6475612 6521170 6849205 7173287 8094515 8477521 13042340 13698410 14346574 16189030 16955042 17807933 27396820 28693148 32378060 33910084 35615866 35866435 42387605 71231732 71732870 78906157 84775210 89039665 93252731 143465740 157812314 169550420 178079330 186505462 315624628 356158660 373010924 394530785 466263655 789061570 932527310 1025780041 1578123140 1865054620 2051560082 4103120164 5128900205 7382616557 10257800410 14765233114 20515600820 29530466228 36913082785 73826165570 81208782127 95974015241 147652331140 162417564254 191948030482 324835128508 383896060964 406043910635 479870076205 812087821270 893296603397 959740152410 1055714167651 1624175642540 1786593206794 1919480304820 2111428335302 3573186413588 4222856670604 4466483016985 5278570838255 8932966033970 10557141676510 11612855844161 17865932067940 21114283353020 23225711688322 46451423376644 58064279220805 116128558441610 232257116883220