Search a number
-
+
286771122 = 232116721617
BaseRepresentation
bin10001000101111…
…100011110110010
3201222121111000200
4101011330132302
51041403133442
644242300030
710051341261
oct2105743662
9658544020
10286771122
11137969430
1280057616
1347548671
142a12c5d8
151a29934c
hex1117c7b2

286771122 has 48 divisors (see below), whose sum is σ = 687971232. Its totient is φ = 85599360.

The previous prime is 286771103. The next prime is 286771129. The reversal of 286771122 is 221177682.

286771122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (286771129) 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, 2458 + ... + 24074.

It is an arithmetic number, because the mean of its divisors is an integer number (14332734).

Almost surely, 2286771122 is an apocalyptic number.

286771122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 286771122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343985616).

286771122 is an abundant number, since it is smaller than the sum of its proper divisors (401200110).

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

286771122 is a wasteful number, since it uses less digits than its factorization.

286771122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21703 (or 21700 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 286771122 is about 16934.3178782022. The cubic root of 286771122 is about 659.4448361811. Note that the first 3 decimals are identical.

The spelling of 286771122 in words is "two hundred eighty-six million, seven hundred seventy-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 134 198 201 402 603 737 1206 1474 2211 4422 6633 13266 21617 43234 64851 129702 194553 237787 389106 475574 713361 1426722 1448339 2140083 2896678 4280166 4345017 8690034 13035051 15931729 26070102 31863458 47795187 95590374 143385561 286771122