[go: up one dir, main page]

Search a number
-
+
206025102 = 23237714357
BaseRepresentation
bin11000100011110…
…11000110001110
3112100200011022100
430101323012032
5410220300402
632235455530
75051120163
oct1421730616
9470604270
10206025102
11a6328788
1258bb75a6
13338b685a
141d51006a
151314971c
hexc47b18e

206025102 has 48 divisors (see below), whose sum is σ = 465016032. Its totient is φ = 65862720.

The previous prime is 206025089. The next prime is 206025119. The reversal of 206025102 is 201520602.

206025102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2060251022 = 84892685308220808, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45108 + ... + 49464.

It is an arithmetic number, because the mean of its divisors is an integer number (9687834).

Almost surely, 2206025102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206025102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232508016).

206025102 is an abundant number, since it is smaller than the sum of its proper divisors (258990930).

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

206025102 is a wasteful number, since it uses less digits than its factorization.

206025102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473 (or 4470 counting only the distinct ones).

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

The square root of 206025102 is about 14353.5745373757. The cubic root of 206025102 is about 590.6180462102.

Adding to 206025102 its reverse (201520602), we get a palindrome (407545704).

The spelling of 206025102 in words is "two hundred six million, twenty-five thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 71 74 111 142 213 222 333 426 639 666 1278 2627 4357 5254 7881 8714 13071 15762 23643 26142 39213 47286 78426 161209 309347 322418 483627 618694 928041 967254 1450881 1856082 2784123 2901762 5568246 11445839 22891678 34337517 68675034 103012551 206025102