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2225367 = 3382421
BaseRepresentation
bin1000011111010011010111
311012001122000
420133103113
51032202432
6115410343
724625644
oct10372327
94161560
102225367
11128aa51
128b39b3
135cbbb1
1441cdcb
152de57c
hex21f4d7

2225367 has 8 divisors (see below), whose sum is σ = 3296880. Its totient is φ = 1483560.

The previous prime is 2225339. The next prime is 2225371. The reversal of 2225367 is 7635222.

It is not a de Polignac number, because 2225367 - 216 = 2159831 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 82421 = 2225367 / (2 + 2 + 2 + 5 + 3 + 6 + 7).

It is a d-powerful number, because it can be written as 27 + 217 + 217 + 59 + 37 + 65 + 7 .

It is a self number, because there is not a number n which added to its sum of digits gives 2225367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225387) 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 7 ways as a sum of consecutive naturals, for example, 41184 + ... + 41237.

It is an arithmetic number, because the mean of its divisors is an integer number (412110).

22225367 is an apocalyptic number.

2225367 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2225367 is a deficient number, since it is larger than the sum of its proper divisors (1071513).

2225367 is an equidigital number, since it uses as much as digits as its factorization.

2225367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82430 (or 82424 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 2225367 is about 1491.7664026248. The cubic root of 2225367 is about 130.5571159681.

The spelling of 2225367 in words is "two million, two hundred twenty-five thousand, three hundred sixty-seven".

Divisors: 1 3 9 27 82421 247263 741789 2225367