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213349689 = 327191371301
BaseRepresentation
bin11001011011101…
…11010100111001
3112212110021202100
430231313110321
5414104142224
633100454013
75200304520
oct1455672471
9485407670
10213349689
11aa480863
125b54a309
133527c727
14204994b7
1513ae4ac9
hexcb77539

213349689 has 48 divisors (see below), whose sum is σ = 373726080. Its totient is φ = 114566400.

The previous prime is 213349687. The next prime is 213349699. The reversal of 213349689 is 986943312.

It is a happy number.

It is not a de Polignac number, because 213349689 - 21 = 213349687 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213349687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163339 + ... + 164639.

It is an arithmetic number, because the mean of its divisors is an integer number (7785960).

Almost surely, 2213349689 is an apocalyptic number.

It is an amenable number.

213349689 is a deficient number, since it is larger than the sum of its proper divisors (160376391).

213349689 is a wasteful number, since it uses less digits than its factorization.

213349689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1467 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 213349689 is about 14606.4947540469. The cubic root of 213349689 is about 597.5359025595.

The spelling of 213349689 in words is "two hundred thirteen million, three hundred forty-nine thousand, six hundred eighty-nine".

Divisors: 1 3 7 9 19 21 57 63 133 137 171 399 411 959 1197 1233 1301 2603 2877 3903 7809 8631 9107 11709 18221 23427 24719 27321 54663 74157 81963 163989 173033 178237 222471 519099 534711 1247659 1557297 1604133 3386503 3742977 10159509 11228931 23705521 30478527 71116563 213349689