Search a number
-
+
8223840 = 253255711
BaseRepresentation
bin11111010111110001100000
3120110210222200
4133113301200
54101130330
6452133200
7126621132
oct37276140
916423880
108223840
114707769
122907200
13191c2a1
141141052
15ac6a60
hex7d7c60

8223840 has 72 divisors (see below), whose sum is σ = 28068768. Its totient is φ = 2192640.

The previous prime is 8223749. The next prime is 8223863. The reversal of 8223840 is 483228.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1416 + ... + 4295.

It is an arithmetic number, because the mean of its divisors is an integer number (389844).

Almost surely, 28223840 is an apocalyptic number.

8223840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8223840 is an abundant number, since it is smaller than the sum of its proper divisors (19844928).

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

8223840 is a wasteful number, since it uses less digits than its factorization.

8223840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8223840 is about 2867.7238360763. The cubic root of 8223840 is about 201.8482014800.

The spelling of 8223840 in words is "eight million, two hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 5711 11422 17133 22844 28555 34266 45688 51399 57110 68532 85665 91376 102798 114220 137064 171330 182752 205596 228440 256995 274128 342660 411192 456880 513990 548256 685320 822384 913760 1027980 1370640 1644768 2055960 2741280 4111920 8223840