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203205114 = 232717194993
BaseRepresentation
bin11000001110010…
…10100111111010
3112011100220000100
430013022213322
5404010030424
632055220230
75015133510
oct1407124772
9464326010
10203205114
11a4782012
1258077676
133313a118
141cdb84b0
1512c8ddc9
hexc1ca9fa

203205114 has 96 divisors (see below), whose sum is σ = 560926080. Its totient is φ = 51757056.

The previous prime is 203205083. The next prime is 203205137. The reversal of 203205114 is 411502302.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38202 + ... + 43194.

It is an arithmetic number, because the mean of its divisors is an integer number (5842980).

Almost surely, 2203205114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203205114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280463040).

203205114 is an abundant number, since it is smaller than the sum of its proper divisors (357720966).

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

203205114 is a wasteful number, since it uses less digits than its factorization.

203205114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 203205114 is about 14255.0031217113. The cubic root of 203205114 is about 587.9109437526.

Adding to 203205114 its reverse (411502302), we get a palindrome (614707416).

The spelling of 203205114 in words is "two hundred three million, two hundred five thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 42 51 57 63 102 114 119 126 133 153 171 238 266 306 323 342 357 399 646 714 798 969 1071 1197 1938 2142 2261 2394 2907 4522 4993 5814 6783 9986 13566 14979 20349 29958 34951 40698 44937 69902 84881 89874 94867 104853 169762 189734 209706 254643 284601 314559 509286 569202 594167 629118 664069 763929 853803 1188334 1328138 1527858 1612739 1707606 1782501 1992207 3225478 3565002 3984414 4838217 5347503 5976621 9676434 10695006 11289173 11953242 14514651 22578346 29029302 33867519 67735038 101602557 203205114