Search a number
-
+
332222201013312 = 2633434471121353
BaseRepresentation
bin100101110001001111000001…
…0010001110010010001000000
31121120022010120101220012201000
41023202132002101302101000
5322021112031424411222
63134324434443212000
7126656155563134601
oct11342360221622100
91546263511805630
10332222201013312
119694670a503445
1231316a7ab17000
131134b55aa99b5c
145c078d709bda8
152861cddb729ac
hex12e2782472440

332222201013312 has 112 divisors (see below), whose sum is σ = 999385045046080. Its totient is φ = 108165367747584.

The previous prime is 332222201013301. The next prime is 332222201013323. The reversal of 332222201013312 is 213310102222233.

332222201013312 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 2 + 220 + 101 + 331 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (332222201013301) and next prime (332222201013323).

It is a super-2 number, since 2×3322222010133122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2235486373 + ... + 2235634980.

It is an arithmetic number, because the mean of its divisors is an integer number (8923080759340).

Almost surely, 2332222201013312 is an apocalyptic number.

332222201013312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

332222201013312 is an abundant number, since it is smaller than the sum of its proper divisors (667162844032768).

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

332222201013312 is a wasteful number, since it uses less digits than its factorization.

332222201013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4471121417 (or 4471121401 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 332222201013312 its reverse (213310102222233), we get a palindrome (545532303235545).

The spelling of 332222201013312 in words is "three hundred thirty-two trillion, two hundred twenty-two billion, two hundred one million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 129 144 172 192 216 258 288 344 387 432 516 576 688 774 864 1032 1161 1376 1548 1728 2064 2322 2752 3096 4128 4644 6192 8256 9288 12384 18576 24768 37152 74304 4471121353 8942242706 13413364059 17884485412 26826728118 35768970824 40240092177 53653456236 71537941648 80480184354 107306912472 120720276531 143075883296 160960368708 192258218179 214613824944 241440553062 286151766592 321920737416 384516436358 429227649888 482881106124 576774654537 643841474832 769032872716 858455299776 965762212248 1153549309074 1287682949664 1538065745432 1730323963611 1931524424496 2307098618148 2575365899328 3076131490864 3460647927222 3863048848992 4614197236296 5190971890833 6152262981728 6921295854444 7726097697984 9228394472592 10381943781666 12304525963456 13842591708888 18456788945184 20763887563332 27685183417776 36913577890368 41527775126664 55370366835552 83055550253328 110740733671104 166111100506656 332222201013312