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2225475 = 34527157
BaseRepresentation
bin1000011111010101000011
311012001210000
420133111003
51032203400
6115411043
724626160
oct10372503
94161700
102225475
11129003a
128b3a83
135cbc65
1441d067
152de600
hex21f543

2225475 has 60 divisors (see below), whose sum is σ = 4741264. Its totient is φ = 1010880.

The previous prime is 2225473. The next prime is 2225491. The reversal of 2225475 is 5745222.

2225475 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 2225475 - 21 = 2225473 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 25 + 217 + 220 + 58 + 49 + 74 + 58 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2225473) 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 59 ways as a sum of consecutive naturals, for example, 14097 + ... + 14253.

22225475 is an apocalyptic number.

2225475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2225475 is an abundant number, since it is smaller than the sum of its proper divisors (2515789).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2225475 is a wasteful number, since it uses less digits than its factorization.

2225475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its digits is 5600, while the sum is 27.

The square root of 2225475 is about 1491.8026008826. The cubic root of 2225475 is about 130.5592279704.

The spelling of 2225475 in words is "two million, two hundred twenty-five thousand, four hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 157 175 189 225 315 405 471 525 567 675 785 945 1099 1413 1575 2025 2355 2835 3297 3925 4239 4725 5495 7065 9891 11775 12717 14175 16485 21195 27475 29673 35325 49455 63585 82425 89019 105975 148365 247275 317925 445095 741825 2225475