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213256206 = 23353269277
BaseRepresentation
bin11001011011000…
…00100000001110
3112212021112112000
430231200200032
5414043144311
633054453130
75166435132
oct1455404016
9485245460
10213256206
11aa4175a9
125b5041a6
1335249007
14204733c2
1513ac7056
hexcb6080e

213256206 has 64 divisors (see below), whose sum is σ = 486388800. Its totient is φ = 69234048.

The previous prime is 213256201. The next prime is 213256217. The reversal of 213256206 is 602652312.

213256206 is a `hidden beast` number, since 2 + 1 + 32 + 5 + 620 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 213256206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213256201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769740 + ... + 770016.

It is an arithmetic number, because the mean of its divisors is an integer number (7599825).

Almost surely, 2213256206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213256206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243194400).

213256206 is an abundant number, since it is smaller than the sum of its proper divisors (273132594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213256206 is a wasteful number, since it uses less digits than its factorization.

213256206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 213256206 is about 14603.2943543572. The cubic root of 213256206 is about 597.4486161119.

The spelling of 213256206 in words is "two hundred thirteen million, two hundred fifty-six thousand, two hundred six".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 269 277 318 477 538 554 807 831 954 1431 1614 1662 2421 2493 2862 4842 4986 7263 7479 14257 14526 14681 14958 28514 29362 42771 44043 74513 85542 88086 128313 132129 149026 223539 256626 264258 384939 396387 447078 670617 769878 792774 1341234 2011851 3949189 4023702 7898378 11847567 23695134 35542701 71085402 106628103 213256206