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213849117 = 3253448321
BaseRepresentation
bin11001011111100…
…01010000011101
3112220101122211200
430233301100131
5414221132432
633115310113
75204454546
oct1457612035
9486348750
10213849117
11aa792009
125b74b339
13353c5b51
14205894cd
1513b92a7c
hexcbf141d

213849117 has 12 divisors (see below), whose sum is σ = 314722044. Its totient is φ = 139875840.

The previous prime is 213849113. The next prime is 213849169. The reversal of 213849117 is 711948312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 149303961 + 64545156 = 12219^2 + 8034^2 .

It is not a de Polignac number, because 213849117 - 22 = 213849113 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213849113) 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, 223684 + ... + 224637.

It is an arithmetic number, because the mean of its divisors is an integer number (26226837).

Almost surely, 2213849117 is an apocalyptic number.

It is an amenable number.

213849117 is a deficient number, since it is larger than the sum of its proper divisors (100872927).

213849117 is a wasteful number, since it uses less digits than its factorization.

213849117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448380 (or 448377 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 213849117 is about 14623.5808542231. The cubic root of 213849117 is about 598.0017943444.

The spelling of 213849117 in words is "two hundred thirteen million, eight hundred forty-nine thousand, one hundred seventeen".

Divisors: 1 3 9 53 159 477 448321 1344963 4034889 23761013 71283039 213849117