Search a number
-
+
330133210223200 = 25522983117171203
BaseRepresentation
bin100101100010000010010000…
…0101110010101001001100000
31121021220102112001011211022121
41023010010200232111021200
5321232400303304120300
63130045034132514024
7126352223464323046
oct11304044056251140
91537812461154277
10330133210223200
119621078768592a
123103a04017b914
1311229574826737
145b74765778396
1528277c821881a
hex12c4120b95260

330133210223200 has 144 divisors (see below), whose sum is σ = 833743555278480. Its totient is φ = 127497443870720.

The previous prime is 330133210223197. The next prime is 330133210223213. The reversal of 330133210223200 is 2322012331033.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1928228799 + ... + 1928400001.

It is an arithmetic number, because the mean of its divisors is an integer number (5789885800545).

Almost surely, 2330133210223200 is an apocalyptic number.

It is an amenable number.

330133210223200 is an abundant number, since it is smaller than the sum of its proper divisors (503610345055280).

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

330133210223200 is a wasteful number, since it uses less digits than its factorization.

330133210223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254369 (or 254356 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 330133210223200 its reverse (2322012331033), we get a palindrome (332455222554233).

The spelling of 330133210223200 in words is "three hundred thirty trillion, one hundred thirty-three billion, two hundred ten million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 232 290 400 464 580 725 800 928 1160 1450 2320 2900 4640 5800 11600 23200 83117 166234 171203 332468 342406 415585 664936 684812 831170 856015 1329872 1369624 1662340 1712030 2077925 2410393 2659744 2739248 3324680 3424060 4155850 4280075 4820786 4964887 5478496 6649360 6848120 8311700 8560150 9641572 9929774 12051965 13298720 13696240 16623400 17120300 19283144 19859548 24103930 24824435 27392480 33246800 34240600 38566288 39719096 48207860 49648870 60259825 66493600 68481200 77132576 79438192 96415720 99297740 120519650 124122175 136962400 158876384 192831440 198595480 241039300 248244350 385662880 397190960 482078600 496488700 794381920 964157200 992977400 1928314400 1985954800 3971909600 14229879751 28459759502 56919519004 71149398755 113839038008 142298797510 227678076016 284597595020 355746993775 412666512779 455356152032 569195190040 711493987550 825333025558 1138390380080 1422987975100 1650666051116 2063332563895 2276780760160 2845975950200 3301332102232 4126665127790 5691951900400 6602664204464 8253330255580 10316662819475 11383903800800 13205328408928 16506660511160 20633325638950 33013321022320 41266651277900 66026642044640 82533302555800 165066605111600 330133210223200