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217050106 = 27213170369
BaseRepresentation
bin11001110111111…
…10101111111010
3120010102021202211
430323332233322
5421031100411
633312045334
75243616100
oct1473765772
9503367684
10217050106
11101578a59
126083384a
1335c76b20
1420b7dc70
15140c6221
hexcefebfa

217050106 has 24 divisors (see below), whose sum is σ = 407865780. Its totient is φ = 85865472.

The previous prime is 217050083. The next prime is 217050109. The reversal of 217050106 is 601050712.

217050106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 213014025 + 4036081 = 14595^2 + 2009^2 .

It is a super-2 number, since 2×2170501062 = 94221497029222472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (217050109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83911 + ... + 86458.

Almost surely, 2217050106 is an apocalyptic number.

217050106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

217050106 is a deficient number, since it is larger than the sum of its proper divisors (190815674).

217050106 is a wasteful number, since it uses less digits than its factorization.

217050106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170398 (or 170391 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 217050106 is about 14732.6204729505. The cubic root of 217050106 is about 600.9707489342.

It can be divided in two parts, 217050 and 106, that added together give a square (217156 = 4662).

The spelling of 217050106 in words is "two hundred seventeen million, fifty thousand, one hundred six".

Divisors: 1 2 7 13 14 26 49 91 98 182 637 1274 170369 340738 1192583 2214797 2385166 4429594 8348081 15503579 16696162 31007158 108525053 217050106