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8223320 = 235743683
BaseRepresentation
bin11111010111101001011000
3120110210021102
4133113221120
54101121240
6452130532
7126616460
oct37275130
916423242
108223320
114707336
122906a48
13191bc91
141140ba0
15ac6815
hex7d7a58

8223320 has 64 divisors (see below), whose sum is σ = 21669120. Its totient is φ = 2749824.

The previous prime is 8223317. The next prime is 8223331. The reversal of 8223320 is 233228.

It is a happy number.

It is a super-3 number, since 3×82233203 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 8223292 and 8223301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11699 + ... + 12381.

It is an arithmetic number, because the mean of its divisors is an integer number (338580).

Almost surely, 28223320 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 8223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10834560).

8223320 is an abundant number, since it is smaller than the sum of its proper divisors (13445800).

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

8223320 is a wasteful number, since it uses less digits than its factorization.

8223320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 8223320 is about 2867.6331704038. The cubic root of 8223320 is about 201.8439470491.

Adding to 8223320 its reverse (233228), we get a palindrome (8456548).

The spelling of 8223320 in words is "eight million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 683 860 1204 1366 1505 1720 2408 2732 3010 3415 4781 5464 6020 6830 9562 12040 13660 19124 23905 27320 29369 38248 47810 58738 95620 117476 146845 191240 205583 234952 293690 411166 587380 822332 1027915 1174760 1644664 2055830 4111660 8223320