Search a number
-
+
303408222 = 231331179701
BaseRepresentation
bin10010000101011…
…010010001011110
3210010220201211120
4102011122101132
51110133030342
650035031410
710342633035
oct2205322136
9703821746
10303408222
111462a20a7
128573b566
134ab221c0
142c41d71c
151b983aec
hex1215a45e

303408222 has 64 divisors (see below), whose sum is σ = 679311360. Its totient is φ = 89712000.

The previous prime is 303408211. The next prime is 303408223. The reversal of 303408222 is 222804303.

303408222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 303408192 and 303408201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303408223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432472 + ... + 433172.

It is an arithmetic number, because the mean of its divisors is an integer number (10614240).

Almost surely, 2303408222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303408222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339655680).

303408222 is an abundant number, since it is smaller than the sum of its proper divisors (375903138).

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

303408222 is a wasteful number, since it uses less digits than its factorization.

303408222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 303408222 is about 17418.6171092886. The cubic root of 303408222 is about 671.9584946375.

The spelling of 303408222 in words is "three hundred three million, four hundred eight thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 179 186 358 403 537 701 806 1074 1209 1402 2103 2327 2418 4206 4654 5549 6981 9113 11098 13962 16647 18226 21731 27339 33294 43462 54678 65193 72137 125479 130386 144274 216411 250958 282503 376437 432822 565006 752874 847509 1631227 1695018 3262454 3889849 4893681 7779698 9787362 11669547 23339094 50568037 101136074 151704111 303408222