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3223213012332 = 2233241178969221
BaseRepresentation
bin101110111001110110011…
…101110111010101101100
3102102010200020221011112000
4232321312131313111230
5410302120012343312
610504420145012300
7451604136361635
oct56716635672554
912363606834460
103223213012332
111032a58797695
1244081b624090
131a4c420a0221
14b200bcb488c
1558c9aa52adc
hex2ee7677756c

3223213012332 has 96 divisors (see below), whose sum is σ = 8395964068800. Its totient is φ = 1069332710400.

The previous prime is 3223213012277. The next prime is 3223213012333. The reversal of 3223213012332 is 2332103123223.

3223213012332 is a `hidden beast` number, since 3 + 2 + 2 + 3 + 21 + 301 + 2 + 332 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3223213012296 and 3223213012305.

It is not an unprimeable number, because it can be changed into a prime (3223213012333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46529482 + ... + 46598702.

It is an arithmetic number, because the mean of its divisors is an integer number (87457959050).

Almost surely, 23223213012332 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 3223213012332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197982034400).

3223213012332 is an abundant number, since it is smaller than the sum of its proper divisors (5172751056468).

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

3223213012332 is a wasteful number, since it uses less digits than its factorization.

3223213012332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71264 (or 71256 counting only the distinct ones).

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

Adding to 3223213012332 its reverse (2332103123223), we get a palindrome (5555316135555).

It can be divided in two parts, 322321 and 3012332, that added together give a triangular number (3334653 = T2582).

The spelling of 3223213012332 in words is "three trillion, two hundred twenty-three billion, two hundred thirteen million, twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 241 482 723 964 1446 1789 2169 2892 3578 4338 5367 6507 7156 8676 10734 13014 16101 21468 26028 32202 48303 64404 69221 96606 138442 193212 207663 276884 415326 431149 622989 830652 862298 1245978 1293447 1724596 1868967 2491956 2586894 3737934 3880341 5173788 7475868 7760682 11641023 15521364 16682261 23282046 33364522 46564092 50046783 66729044 100093566 123836369 150140349 200187132 247672738 300280698 371509107 450421047 495345476 600561396 743018214 900842094 1114527321 1486036428 1801684188 2229054642 3343581963 4458109284 6687163926 13374327852 29844564929 59689129858 89533694787 119378259716 179067389574 268601084361 358134779148 537202168722 805803253083 1074404337444 1611606506166 3223213012332