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338228217 = 344175657
BaseRepresentation
bin10100001010001…
…111001111111001
3212120102202220000
4110022033033321
51143041300332
653321223213
711244615045
oct2412171771
9776382800
10338228217
11163a14958
1295331b09
13550c4052
1432cc5025
151ea60b7c
hex1428f3f9

338228217 has 10 divisors (see below), whose sum is σ = 505254618. Its totient is φ = 225485424.

The previous prime is 338228173. The next prime is 338228221. The reversal of 338228217 is 712822833.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 280529001 + 57699216 = 16749^2 + 7596^2 .

It is not a de Polignac number, because 338228217 - 28 = 338227961 is a prime.

It is a super-2 number, since 2×3382282172 = 228796653549998178, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338228227) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2087748 + ... + 2087909.

Almost surely, 2338228217 is an apocalyptic number.

It is an amenable number.

338228217 is a deficient number, since it is larger than the sum of its proper divisors (167026401).

338228217 is an equidigital number, since it uses as much as digits as its factorization.

338228217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175669 (or 4175660 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 338228217 is about 18390.9819476829. The cubic root of 338228217 is about 696.7387184877.

The spelling of 338228217 in words is "three hundred thirty-eight million, two hundred twenty-eight thousand, two hundred seventeen".

Divisors: 1 3 9 27 81 4175657 12526971 37580913 112742739 338228217