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8223225 = 352831321
BaseRepresentation
bin11111010111100111111001
3120110210010220
4133113213321
54101120400
6452130253
7126616263
oct37274771
916423126
108223225
11470725a
122906989
13191bc1a
141140b33
15ac67a0
hex7d79f9

8223225 has 24 divisors (see below), whose sum is σ = 13769952. Its totient is φ = 4329600.

The previous prime is 8223217. The next prime is 8223251. The reversal of 8223225 is 5223228.

It is not a de Polignac number, because 8223225 - 23 = 8223217 is a prime.

It is an Ulam number.

8223225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8223195 and 8223204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5565 + ... + 6885.

It is an arithmetic number, because the mean of its divisors is an integer number (573748).

Almost surely, 28223225 is an apocalyptic number.

It is an amenable number.

8223225 is a deficient number, since it is larger than the sum of its proper divisors (5546727).

8223225 is a wasteful number, since it uses less digits than its factorization.

8223225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1412 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 8223225 is about 2867.6166061731. The cubic root of 8223225 is about 201.8431697779.

It can be divided in two parts, 8223 and 225, that added together give a palindrome (8448).

The spelling of 8223225 in words is "eight million, two hundred twenty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 83 249 415 1245 1321 2075 3963 6225 6605 19815 33025 99075 109643 328929 548215 1644645 2741075 8223225