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4223342433224 = 2319263444123789
BaseRepresentation
bin111101011101010010110…
…100110101001111001000
3112221202011222212212002102
4331131102310311033020
51023143401130330344
612552102101252532
7614061235240235
oct75352264651710
915852158785072
104223342433224
1113891227793a2
12582618a04148
1324834b110a75
141085a75aa78c
1574cd3830e4e
hex3d752d353c8

4223342433224 has 64 divisors (see below), whose sum is σ = 8369474256000. Its totient is φ = 1992391534080.

The previous prime is 4223342433223. The next prime is 4223342433239.

4223342433224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (4223342433223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177521522 + ... + 177545310.

It is an arithmetic number, because the mean of its divisors is an integer number (130773035250).

Almost surely, 24223342433224 is an apocalyptic number.

It is an amenable number.

4223342433224 is a deficient number, since it is larger than the sum of its proper divisors (4146131822776).

4223342433224 is a wasteful number, since it uses less digits than its factorization.

4223342433224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28518 (or 28514 counting only the distinct ones).

The product of its digits is 663552, while the sum is 38.

The spelling of 4223342433224 in words is "four trillion, two hundred twenty-three billion, three hundred forty-two million, four hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 19 38 76 152 263 526 1052 2104 4441 4997 8882 9994 17764 19988 23789 35528 39976 47578 84379 95156 168758 190312 337516 451991 675032 903982 1167983 1807964 2335966 3615928 4671932 6256507 9343864 12513014 22191677 25026028 44383354 50052056 88766708 105646949 118873633 177533416 211293898 237747266 422587796 475494532 845175592 950989064 2007292031 4014584062 8029168124 16058336248 27785147587 55570295174 111140590348 222281180696 527917804153 1055835608306 2111671216612 4223342433224