Search a number
-
+
228882753 = 34114193
BaseRepresentation
bin11011010010001…
…11100101000001
3120221200110010000
431221013211001
5432043222003
634413430213
75446320441
oct1551074501
9527613100
10228882753
11108220000
126479b369
133855a8a8
1422580121
15151621a3
hexda47941

228882753 has 50 divisors (see below), whose sum is σ = 378048770. Its totient is φ = 137998080.

The previous prime is 228882739. The next prime is 228882757. The reversal of 228882753 is 357288822.

It can be written as a sum of positive squares in only one way, i.e., 170772624 + 58110129 = 13068^2 + 7623^2 .

It is not a de Polignac number, because 228882753 - 28 = 228882497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 228882699 and 228882708.

It is not an unprimeable number, because it can be changed into a prime (228882757) 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 49 ways as a sum of consecutive naturals, for example, 1185825 + ... + 1186017.

Almost surely, 2228882753 is an apocalyptic number.

It is an amenable number.

228882753 is a deficient number, since it is larger than the sum of its proper divisors (149166017).

228882753 is an frugal number, since it uses more digits than its factorization.

228882753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 207 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 228882753 is about 15128.8715045108. The cubic root of 228882753 is about 611.6988858966.

The spelling of 228882753 in words is "two hundred twenty-eight million, eight hundred eighty-two thousand, seven hundred fifty-three".

Divisors: 1 3 9 11 27 33 81 99 121 193 297 363 579 891 1089 1331 1737 2123 3267 3993 5211 6369 9801 11979 14641 15633 19107 23353 35937 43923 57321 70059 107811 131769 171963 210177 256883 395307 630531 770649 1185921 1891593 2311947 2825713 6935841 8477139 20807523 25431417 76294251 228882753