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43223136 = 253112612
BaseRepresentation
bin1010010011100…
…0100001100000
310000022221222220
42210320201200
542031120021
64142231040
71033250655
oct244704140
9100287886
1043223136
1122442200
1212585480
138c54928
145a51c2c
153bdbcc6
hex2938860

43223136 has 108 divisors (see below), whose sum is σ = 126791028. Its totient is φ = 12883200.

The previous prime is 43223113. The next prime is 43223149. The reversal of 43223136 is 63132234.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 708546 + ... + 708606.

It is an arithmetic number, because the mean of its divisors is an integer number (1173991).

Almost surely, 243223136 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 43223136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63395514).

43223136 is an abundant number, since it is smaller than the sum of its proper divisors (83567892).

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

43223136 is a wasteful number, since it uses less digits than its factorization.

43223136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 77 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 43223136 is about 6574.4304696301. The cubic root of 43223136 is about 350.9447563644.

Multiplying 43223136 by its sum of digits (24), we get a square (1037355264 = 322082).

43223136 divided by its sum of digits (24) gives a square (1800964 = 13422).

The spelling of 43223136 in words is "forty-three million, two hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 66 88 96 121 122 132 176 183 242 244 264 352 363 366 484 488 528 671 726 732 968 976 1056 1342 1452 1464 1936 1952 2013 2684 2904 2928 3721 3872 4026 5368 5808 5856 7381 7442 8052 10736 11163 11616 14762 14884 16104 21472 22143 22326 29524 29768 32208 40931 44286 44652 59048 59536 64416 81862 88572 89304 118096 119072 122793 163724 177144 178608 236192 245586 327448 354288 357216 450241 491172 654896 708576 900482 982344 1309792 1350723 1800964 1964688 2701446 3601928 3929376 5402892 7203856 10805784 14407712 21611568 43223136