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8225250 = 235311997
BaseRepresentation
bin11111011000000111100010
3120110212220220
4133120013202
54101202000
6452143510
7126625215
oct37300742
916425826
108225250
114708830
122907b96
13191cb17
14114177c
15ac71a0
hex7d81e2

8225250 has 64 divisors (see below), whose sum is σ = 22419072. Its totient is φ = 1992000.

The previous prime is 8225207. The next prime is 8225257. The reversal of 8225250 is 525228.

8225250 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 8225250.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8225257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7752 + ... + 8748.

It is an arithmetic number, because the mean of its divisors is an integer number (350298).

Almost surely, 28225250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8225250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11209536).

8225250 is an abundant number, since it is smaller than the sum of its proper divisors (14193822).

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

8225250 is a wasteful number, since it uses less digits than its factorization.

8225250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 8225250 is about 2867.9696651115. The cubic root of 8225250 is about 201.8597366306.

The spelling of 8225250 in words is "eight million, two hundred twenty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 125 150 165 250 275 330 375 550 750 825 997 1375 1650 1994 2750 2991 4125 4985 5982 8250 9970 10967 14955 21934 24925 29910 32901 49850 54835 65802 74775 109670 124625 149550 164505 249250 274175 329010 373875 548350 747750 822525 1370875 1645050 2741750 4112625 8225250