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3332023331220 = 22325533329104917
BaseRepresentation
bin110000011111001100000…
…100010010100110010100
3102210112112102202002012200
4300133030010102212110
5414042440433044340
611030413235444500
7462505434002223
oct60371404224624
912715472662180
103332023331220
111075115339771
12459927a56730
131b2292c796bc
14b73b1092cba
155ba1849c330
hex307cc112994

3332023331220 has 144 divisors (see below), whose sum is σ = 10301029698960. Its totient is φ = 871504478208.

The previous prime is 3332023331207. The next prime is 3332023331269. The reversal of 3332023331220 is 221333202333.

3332023331220 is a `hidden beast` number, since 3 + 3 + 3 + 202 + 333 + 122 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 270146299536 + 3061877031684 = 519756^2 + 1749822^2 .

It is a super-2 number, since 2×33320233312202 (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 31706202 + ... + 31811118.

It is an arithmetic number, because the mean of its divisors is an integer number (71534928465).

Almost surely, 23332023331220 is an apocalyptic number.

3332023331220 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 3332023331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150514849480).

3332023331220 is an abundant number, since it is smaller than the sum of its proper divisors (6969006367740).

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

3332023331220 is a wasteful number, since it uses less digits than its factorization.

3332023331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108314 (or 108309 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 3332023331220 its reverse (221333202333), we get a palindrome (3553356533553).

The spelling of 3332023331220 in words is "three trillion, three hundred thirty-two billion, twenty-three million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 3329 4770 6658 9540 9987 13316 16645 19974 29961 33290 39948 49935 59922 66580 99870 104917 119844 149805 176437 199740 209834 299610 314751 352874 419668 524585 529311 599220 629502 705748 882185 944253 1049170 1058622 1259004 1573755 1587933 1764370 1888506 2098340 2117244 2646555 3147510 3175866 3528740 3777012 4721265 5293110 5560601 6295020 6351732 7939665 9442530 10586220 11121202 15879330 16681803 18885060 22242404 27803005 31758660 33363606 50045409 55606010 66727212 83409015 100090818 111212020 166818030 200181636 250227045 333636060 349268693 500454090 698537386 1000908180 1047806079 1397074772 1746343465 2095612158 3143418237 3492686930 4191224316 5239030395 6286836474 6985373860 10478060790 12573672948 15717091185 18511240729 20956121580 31434182370 37022481458 55533722187 62868364740 74044962916 92556203645 111067444374 166601166561 185112407290 222134888748 277668610935 333202333122 370224814580 555337221870 666404666244 833005832805 1110674443740 1666011665610 3332023331220