Search a number
-
+
206146300 = 225243191251
BaseRepresentation
bin11000100100110…
…00101011111100
3112100220022120011
430102120223330
5410233140200
632242233004
75052133423
oct1422305374
9470808504
10206146300
11a6400848
1259055764
1333929a79
141d5422ba
15131705ba
hexc498afc

206146300 has 72 divisors (see below), whose sum is σ = 461970432. Its totient is φ = 79800000.

The previous prime is 206146279. The next prime is 206146321. The reversal of 206146300 is 3641602.

206146300 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (206146279) and next prime (206146321).

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, 821175 + ... + 821425.

It is an arithmetic number, because the mean of its divisors is an integer number (6416256).

Almost surely, 2206146300 is an apocalyptic number.

206146300 is a gapful number since it is divisible by the number (20) 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 206146300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230985216).

206146300 is an abundant number, since it is smaller than the sum of its proper divisors (255824132).

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

206146300 is a wasteful number, since it uses less digits than its factorization.

206146300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 206146300 is about 14357.7957918338. The cubic root of 206146300 is about 590.7338374309.

Adding to 206146300 its reverse (3641602), we get a palindrome (209787902).

The spelling of 206146300 in words is "two hundred six million, one hundred forty-six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 191 215 251 382 430 502 764 860 955 1004 1075 1255 1910 2150 2510 3820 4300 4775 5020 6275 8213 9550 10793 12550 16426 19100 21586 25100 32852 41065 43172 47941 53965 82130 95882 107930 164260 191764 205325 215860 239705 269825 410650 479410 539650 821300 958820 1079300 1198525 2061463 2397050 4122926 4794100 8245852 10307315 20614630 41229260 51536575 103073150 206146300