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2225322 = 2321111239
BaseRepresentation
bin1000011111010010101010
311012001120100
420133102222
51032202242
6115410230
724625551
oct10372252
94161510
102225322
11128aa10
128b3976
135cbb78
1441cd98
152de54c
hex21f4aa

2225322 has 24 divisors (see below), whose sum is σ = 5260320. Its totient is φ = 674280.

The previous prime is 2225269. The next prime is 2225323. The reversal of 2225322 is 2235222.

Added to its reverse (2235222) it gives a square (4460544 = 21122).

2225322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2225295 and 2225304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225323) 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 11 ways as a sum of consecutive naturals, for example, 5422 + ... + 5817.

It is an arithmetic number, because the mean of its divisors is an integer number (219180).

22225322 is an apocalyptic number.

2225322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2225322 is an abundant number, since it is smaller than the sum of its proper divisors (3034998).

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

2225322 is a wasteful number, since it uses less digits than its factorization.

2225322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11258 (or 11255 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 2225322 is about 1491.7513197581. The cubic root of 2225322 is about 130.5562359470.

Adding to 2225322 its reverse (2235222), we get a square (4460544 = 21122).

The spelling of 2225322 in words is "two million, two hundred twenty-five thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 11239 22478 33717 67434 101151 123629 202302 247258 370887 741774 1112661 2225322