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8223185340 = 2233530749603
BaseRepresentation
bin1111010100010001…
…11101100110111100
3210020002101002122000
413222020331212330
5113320113412330
63435551222300
7410530631166
oct75210754674
923202332560
108223185340
11353a856947
121715b17990
13a10857656
145801a3936
15331dd4560
hex1ea23d9bc

8223185340 has 96 divisors (see below), whose sum is σ = 25667093760. Its totient is φ = 2185662528.

The previous prime is 8223185339. The next prime is 8223185359. The reversal of 8223185340 is 435813228.

8223185340 is a `hidden beast` number, since 8 + 2 + 231 + 85 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8223185295 and 8223185304.

It is a congruent number.

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, 140979 + ... + 190581.

It is an arithmetic number, because the mean of its divisors is an integer number (267365560).

Almost surely, 28223185340 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 8223185340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12833546880).

8223185340 is an abundant number, since it is smaller than the sum of its proper divisors (17443908420).

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

8223185340 is a wasteful number, since it uses less digits than its factorization.

8223185340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49928 (or 49920 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8223185340 is about 90681.7806397735. The cubic root of 8223185340 is about 2018.4284528586.

Adding to 8223185340 its reverse (435813228), we get a palindrome (8658998568).

The spelling of 8223185340 in words is "eight billion, two hundred twenty-three million, one hundred eighty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 307 540 614 921 1228 1535 1842 2763 3070 3684 4605 5526 6140 8289 9210 11052 13815 16578 18420 27630 33156 41445 49603 55260 82890 99206 148809 165780 198412 248015 297618 446427 496030 595236 744045 892854 992060 1339281 1488090 1785708 2232135 2678562 2976180 4464270 5357124 6696405 8928540 13392810 15228121 26785620 30456242 45684363 60912484 76140605 91368726 137053089 152281210 182737452 228421815 274106178 304562420 411159267 456843630 548212356 685265445 822318534 913687260 1370530890 1644637068 2055796335 2741061780 4111592670 8223185340