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8332225 = 521141739
BaseRepresentation
bin11111110010001111000001
3120200022122221
4133302033001
54113112400
6454331041
7130552126
oct37621701
916608587
108332225
114781140
122959a81
131959715
14116c74d
15ae8c1a
hex7f23c1

8332225 has 24 divisors (see below), whose sum is σ = 11561760. Its totient is φ = 5904000.

The previous prime is 8332223. The next prime is 8332231. The reversal of 8332225 is 5222338.

It is not a de Polignac number, because 8332225 - 21 = 8332223 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 83 + 313 + 314 + 24 + 28 + 210 + 59 .

It is a self number, because there is not a number n which added to its sum of digits gives 8332225.

It is not an unprimeable number, because it can be changed into a prime (8332223) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10906 + ... + 11644.

It is an arithmetic number, because the mean of its divisors is an integer number (481740).

Almost surely, 28332225 is an apocalyptic number.

It is an amenable number.

8332225 is a deficient number, since it is larger than the sum of its proper divisors (3229535).

8332225 is a wasteful number, since it uses less digits than its factorization.

8332225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 796 counting only the distinct ones).

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

The square root of 8332225 is about 2886.5593706002. The cubic root of 8332225 is about 202.7310779777.

It can be divided in two parts, 8 and 332225, that added together give a palindrome (332233).

The spelling of 8332225 in words is "eight million, three hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 5 11 25 41 55 205 275 451 739 1025 2255 3695 8129 11275 18475 30299 40645 151495 203225 333289 757475 1666445 8332225