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2226825 = 33523299
BaseRepresentation
bin1000011111101010001001
311012010122000
420133222021
51032224300
6115421213
724633126
oct10375211
94163560
102226825
111291057
128b4809
135cc763
1441d74d
152dec00
hex21fa89

2226825 has 24 divisors (see below), whose sum is σ = 4092000. Its totient is φ = 1187280.

The previous prime is 2226817. The next prime is 2226839. The reversal of 2226825 is 5286222.

2226825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2226825 - 23 = 2226817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 27 + 210 + 211 + 68 + 84 + 219 + 56 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 975 + ... + 2324.

It is an arithmetic number, because the mean of its divisors is an integer number (170500).

22226825 is an apocalyptic number.

2226825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2226825 is a deficient number, since it is larger than the sum of its proper divisors (1865175).

2226825 is a wasteful number, since it uses less digits than its factorization.

2226825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3307 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2226825 is about 1492.2550050176. The cubic root of 2226825 is about 130.5856222353.

The spelling of 2226825 in words is "two million, two hundred twenty-six thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 675 3299 9897 16495 29691 49485 82475 89073 148455 247425 445365 742275 2226825