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2228317 = 71347521
BaseRepresentation
bin1000100000000001011101
311012012200021
420200001131
51032301232
6115432141
724640360
oct10400135
94165607
102228317
111292193
128b5651
13600340
144200d7
152e0397
hex22005d

2228317 has 16 divisors (see below), whose sum is σ = 2806272. Its totient is φ = 1722240.

The previous prime is 2228299. The next prime is 2228321. The reversal of 2228317 is 7138222.

It is not a de Polignac number, because 2228317 - 27 = 2228189 is a prime.

It is a super-3 number, since 3×22283173 = 33193433317452993039, which contains 333 as substring.

It is a d-powerful number, because it can be written as 25 + 217 + 221 + 8 + 3 + 1 + 72 .

2228317 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2228291 and 2228300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4017 + ... + 4537.

It is an arithmetic number, because the mean of its divisors is an integer number (175392).

22228317 is an apocalyptic number.

It is an amenable number.

2228317 is a deficient number, since it is larger than the sum of its proper divisors (577955).

2228317 is a wasteful number, since it uses less digits than its factorization.

2228317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588.

The product of its digits is 1344, while the sum is 25.

The square root of 2228317 is about 1492.7548358656. The cubic root of 2228317 is about 130.6147803792.

The spelling of 2228317 in words is "two million, two hundred twenty-eight thousand, three hundred seventeen".

Divisors: 1 7 13 47 91 329 521 611 3647 4277 6773 24487 47411 171409 318331 2228317