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8323225 = 525772
BaseRepresentation
bin11111110000000010011001
3120122212022121
4133300002121
54112320400
6454221241
7130513651
oct37600231
916585277
108323225
1147753a9
122954821
1319555b1
141169361
15ae621a
hex7f0099

8323225 has 9 divisors (see below), whose sum is σ = 10338717. Its totient is φ = 6647040.

The previous prime is 8323213. The next prime is 8323229. The reversal of 8323225 is 5223238.

The square root of 8323225 is 2885.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2350089 + 5973136 = 1533^2 + 2444^2 .

It is a de Polignac number, because none of the positive numbers 2k-8323225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a d-powerful number, because it can be written as 87 + 37 + 210 + 310 + 214 + 222 + 59 .

It is a Duffinian number.

8323225 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8323225.

It is not an unprimeable number, because it can be changed into a prime (8323229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14137 + ... + 14713.

Almost surely, 28323225 is an apocalyptic number.

8323225 is the 2885-th square number.

8323225 is the 1443-rd centered octagonal number.

It is an amenable number.

8323225 is a deficient number, since it is larger than the sum of its proper divisors (2015492).

8323225 is an frugal number, since it uses more digits than its factorization.

8323225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 582 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The cubic root of 8323225 is about 202.6580587848.

Multiplying 8323225 by its sum of digits (25), we get a square (208080625 = 144252).

8323225 divided by its sum of digits (25) gives a square (332929 = 5772).

The spelling of 8323225 in words is "eight million, three hundred twenty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 577 2885 14425 332929 1664645 8323225