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2214225 = 325213757
BaseRepresentation
bin1000011100100101010001
311011111100100
420130211101
51031323400
6115243013
724551316
oct10344521
94144310
102214225
111282642
128a9469
135c6ac0
14418d0d
152db100
hex21c951

2214225 has 36 divisors (see below), whose sum is σ = 4276636. Its totient is φ = 1088640.

The previous prime is 2214221. The next prime is 2214257. The reversal of 2214225 is 5224122.

It can be written as a sum of positive squares in 6 ways, for example, as 166464 + 2047761 = 408^2 + 1431^2 .

It is not a de Polignac number, because 2214225 - 22 = 2214221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2214198 and 2214207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2547 + ... + 3303.

22214225 is an apocalyptic number.

2214225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2214225 is a deficient number, since it is larger than the sum of its proper divisors (2062411).

2214225 is a wasteful number, since it uses less digits than its factorization.

2214225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 778 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 2214225 is about 1488.0272174930. The cubic root of 2214225 is about 130.3388595470.

Adding to 2214225 its reverse (5224122), we get a palindrome (7438347).

The spelling of 2214225 in words is "two million, two hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 757 975 2271 2925 3785 6813 9841 11355 18925 29523 34065 49205 56775 88569 147615 170325 246025 442845 738075 2214225