Search a number
-
+
228233358 = 232195911311
BaseRepresentation
bin11011001101010…
…01000010001110
3120220110110022100
431212221002032
5431411431413
634351455530
75440644243
oct1546510216
9526413270
10228233358
11107917111
12645275a6
1338391132
14224515ca
1515084a73
hexd9a908e

228233358 has 48 divisors (see below), whose sum is σ = 529401600. Its totient is φ = 70845840.

The previous prime is 228233333. The next prime is 228233359. The reversal of 228233358 is 853332822.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228233359) 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 23 ways as a sum of consecutive naturals, for example, 14523 + ... + 25833.

It is an arithmetic number, because the mean of its divisors is an integer number (11029200).

Almost surely, 2228233358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228233358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264700800).

228233358 is an abundant number, since it is smaller than the sum of its proper divisors (301168242).

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

228233358 is a wasteful number, since it uses less digits than its factorization.

228233358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11397 (or 11394 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 228233358 is about 15107.3941498857. The cubic root of 228233358 is about 611.1198259939.

It can be divided in two parts, 228 and 233358, that added together give a triangular number (233586 = T683).

The spelling of 228233358 in words is "two hundred twenty-eight million, two hundred thirty-three thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 59 114 118 171 177 342 354 531 1062 1121 2242 3363 6726 10089 11311 20178 22622 33933 67866 101799 203598 214909 429818 644727 667349 1289454 1334698 1934181 2002047 3868362 4004094 6006141 12012282 12679631 25359262 38038893 76077786 114116679 228233358