Search a number
-
+
213828258 = 237414843
BaseRepresentation
bin11001011111011…
…00001010100010
3112220100121020010
430233230022202
5414220001013
633115025350
75204340000
oct1457541242
9486317203
10213828258
11aa778376
125b73b256
13353b94c7
1420581a70
1513b8b7c3
hexcbec2a2

213828258 has 40 divisors (see below), whose sum is σ = 498936528. Its totient is φ = 61089672.

The previous prime is 213828157. The next prime is 213828259. The reversal of 213828258 is 852828312.

It is a happy number.

213828258 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213828259) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6985 + ... + 21827.

Almost surely, 2213828258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213828258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249468264).

213828258 is an abundant number, since it is smaller than the sum of its proper divisors (285108270).

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

213828258 is an equidigital number, since it uses as much as digits as its factorization.

213828258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14876 (or 14855 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 213828258 is about 14622.8676394201. The cubic root of 213828258 is about 597.9823505341.

The spelling of 213828258 in words is "two hundred thirteen million, eight hundred twenty-eight thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 2058 2401 4802 7203 14406 14843 29686 44529 89058 103901 207802 311703 623406 727307 1454614 2181921 4363842 5091149 10182298 15273447 30546894 35638043 71276086 106914129 213828258