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214632106 = 21317485593
BaseRepresentation
bin11001100101100…
…00011010101010
3112221212102220021
430302300122222
5414421211411
633144151054
75214225403
oct1462603252
9487772807
10214632106
11100177307
125ba6848a
133560b360
14207109aa
1513c99a71
hexccb06aa

214632106 has 16 divisors (see below), whose sum is σ = 367109064. Its totient is φ = 93233664.

The previous prime is 214632097. The next prime is 214632109. The reversal of 214632106 is 601236412.

It can be written as a sum of positive squares in 4 ways, for example, as 103856481 + 110775625 = 10191^2 + 10525^2 .

It is a super-3 number, since 3×2146321063 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (214632109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242355 + ... + 243238.

Almost surely, 2214632106 is an apocalyptic number.

214632106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

214632106 is a deficient number, since it is larger than the sum of its proper divisors (152476958).

214632106 is a wasteful number, since it uses less digits than its factorization.

214632106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485625.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 214632106 is about 14650.3278461610. The cubic root of 214632106 is about 598.7307483753.

Adding to 214632106 its reverse (601236412), we get a palindrome (815868518).

The spelling of 214632106 in words is "two hundred fourteen million, six hundred thirty-two thousand, one hundred six".

Divisors: 1 2 13 17 26 34 221 442 485593 971186 6312709 8255081 12625418 16510162 107316053 214632106