Search a number
-
+
206241216 = 26310710039
BaseRepresentation
bin11000100101011…
…11110111000000
3112101002010202120
430102233313000
5410244204331
632244244240
75053010226
oct1422576700
9471063676
10206241216
11a6466095
12590a0680
133396102c
141d568b16
151318d796
hexc4afdc0

206241216 has 56 divisors (see below), whose sum is σ = 550834560. Its totient is φ = 68097792.

The previous prime is 206241173. The next prime is 206241221. The reversal of 206241216 is 612142602.

206241216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15525 + ... + 25563.

Almost surely, 2206241216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206241216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275417280).

206241216 is an abundant number, since it is smaller than the sum of its proper divisors (344593344).

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

206241216 is a wasteful number, since it uses less digits than its factorization.

206241216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10161 (or 10151 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 206241216 is about 14361.1007934629. The cubic root of 206241216 is about 590.8244874363.

Adding to 206241216 its reverse (612142602), we get a palindrome (818383818).

The spelling of 206241216 in words is "two hundred six million, two hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 321 428 642 856 1284 1712 2568 3424 5136 6848 10039 10272 20078 20544 30117 40156 60234 80312 120468 160624 240936 321248 481872 642496 963744 1074173 1927488 2148346 3222519 4296692 6445038 8593384 12890076 17186768 25780152 34373536 51560304 68747072 103120608 206241216