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3032255345220 = 22325612753100313
BaseRepresentation
bin101100001000000000100…
…000001011001001000100
3101201212210002101120211200
4230020000200023021010
5344140024332021340
610240555431302500
7432034054111323
oct54100040131104
911655702346750
103032255345220
11a69a77100a82
1240b80821aa30
1318cc2c2339aa
14a6a94aa80ba
1553d2136d330
hex2c20080b244

3032255345220 has 144 divisors (see below), whose sum is σ = 9352114520112. Its totient is φ = 795048837120.

The previous prime is 3032255345213. The next prime is 3032255345237. The reversal of 3032255345220 is 225435522303.

3032255345220 is a `hidden beast` number, since 3 + 0 + 32 + 2 + 553 + 4 + 52 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 444043645956 + 2588211699264 = 666366^2 + 1608792^2 .

It is a super-2 number, since 2×30322553452202 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30177784 + ... + 30278096.

It is an arithmetic number, because the mean of its divisors is an integer number (64945239723).

Almost surely, 23032255345220 is an apocalyptic number.

3032255345220 is a gapful number since it is divisible by the number (30) 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 3032255345220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676057260056).

3032255345220 is an abundant number, since it is smaller than the sum of its proper divisors (6319859174892).

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

3032255345220 is a wasteful number, since it uses less digits than its factorization.

3032255345220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103142 (or 103137 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 3032255345220 in words is "three trillion, thirty-two billion, two hundred fifty-five million, three hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 2753 3660 5490 5506 8259 10980 11012 13765 16518 24777 27530 33036 41295 49554 55060 82590 99108 100313 123885 165180 167933 200626 247770 300939 335866 401252 495540 501565 503799 601878 671732 839665 902817 1003130 1007598 1203756 1504695 1511397 1679330 1805634 2006260 2015196 2518995 3009390 3022794 3358660 3611268 4514085 5037990 6018780 6045588 6119093 7556985 9028170 10075980 12238186 15113970 18056340 18357279 24476372 30227940 30595465 36714558 55071837 61190930 73429116 91786395 110143674 122381860 183572790 220287348 275359185 276161689 367145580 550718370 552323378 828485067 1101436740 1104646756 1380808445 1656970134 2485455201 2761616890 3313940268 4142425335 4970910402 5523233780 8284850670 9941820804 12427276005 16569701340 16845863029 24854552010 33691726058 49709104020 50537589087 67383452116 84229315145 101075178174 151612767261 168458630290 202150356348 252687945435 303225534522 336917260580 505375890870 606451069044 758063836305 1010751781740 1516127672610 3032255345220