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2231332330212 = 223353981139733
BaseRepresentation
bin100000011110000101110…
…001010101101011100100
321220022110101102211022000
4200132011301111223210
5243024232034031322
64425020535405300
7320131331603406
oct40360561255344
97808411384260
102231332330212
11790336a25467
12300544823830
1313254bc930bb
1479dd5d14b76
153d0970053ac
hex20785c55ae4

2231332330212 has 96 divisors (see below), whose sum is σ = 5894834520960. Its totient is φ = 729651162240.

The previous prime is 2231332330121. The next prime is 2231332330247. The reversal of 2231332330212 is 2120332331322.

2231332330212 is a `hidden beast` number, since 2 + 2 + 31 + 3 + 323 + 302 + 1 + 2 = 666.

It is a super-3 number, since 3×22313323302123 (a number of 38 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56138298 + ... + 56178030.

It is an arithmetic number, because the mean of its divisors is an integer number (61404526260).

Almost surely, 22231332330212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231332330212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947417260480).

2231332330212 is an abundant number, since it is smaller than the sum of its proper divisors (3663502190748).

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

2231332330212 is a wasteful number, since it uses less digits than its factorization.

2231332330212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49610 (or 49602 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2231332330212 its reverse (2120332331322), we get a palindrome (4351664661534).

The spelling of 2231332330212 in words is "two trillion, two hundred thirty-one billion, three hundred thirty-two million, three hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2862 5724 9811 19622 29433 39244 39733 58866 79466 88299 117732 119199 158932 176598 238398 264897 353196 357597 476796 519983 529794 715194 1039966 1059588 1072791 1430388 1559949 2079932 2105849 2145582 3119898 4211698 4291164 4679847 6239796 6317547 8423396 9359694 12635094 14039541 18719388 18952641 25270188 28079082 37905282 56158164 56857923 75810564 113715846 227431692 389820463 779640926 1169461389 1559281852 2338922778 3508384167 4677845556 7016768334 10525152501 14033536668 20660484539 21050305002 41320969078 42100610004 61981453617 82641938156 123962907234 185944360851 247925814468 371888721702 557833082553 743777443404 1115666165106 2231332330212