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206212104 = 233271014051
BaseRepresentation
bin11000100101010…
…00110000001000
3112101000122211100
430102220300020
5410242241404
632243501400
75052526320
oct1422506010
9471018740
10206212104
11a644622a
1259087860
13339509c7
141d55c280
1513184d39
hexc4a8c08

206212104 has 96 divisors (see below), whose sum is σ = 644754240. Its totient is φ = 58320000.

The previous prime is 206212103. The next prime is 206212109. The reversal of 206212104 is 401212602.

206212104 is a `hidden beast` number, since 20 + 621 + 21 + 0 + 4 = 666.

It is a super-2 number, since 2×2062121042 = 85046863672213632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206212103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48879 + ... + 52929.

It is an arithmetic number, because the mean of its divisors is an integer number (6716190).

Almost surely, 2206212104 is an apocalyptic number.

206212104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206212104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322377120).

206212104 is an abundant number, since it is smaller than the sum of its proper divisors (438542136).

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

206212104 is a wasteful number, since it uses less digits than its factorization.

206212104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 206212104 is about 14360.0871863649. The cubic root of 206212104 is about 590.7966868312.

Adding to 206212104 its reverse (401212602), we get a palindrome (607424706).

The spelling of 206212104 in words is "two hundred six million, two hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 101 126 168 202 252 303 404 504 606 707 808 909 1212 1414 1818 2121 2424 2828 3636 4051 4242 5656 6363 7272 8102 8484 12153 12726 16204 16968 24306 25452 28357 32408 36459 48612 50904 56714 72918 85071 97224 113428 145836 170142 226856 255213 291672 340284 409151 510426 680568 818302 1020852 1227453 1636604 2041704 2454906 2864057 3273208 3682359 4909812 5728114 7364718 8592171 9819624 11456228 14729436 17184342 22912456 25776513 29458872 34368684 51553026 68737368 103106052 206212104