Search a number
-
+
213113056 = 25132157251
BaseRepresentation
bin11001011001111…
…01100011100000
3112212000021011011
430230331203200
5414024104211
633051430304
75165300602
oct1454754340
9485007134
10213113056
11aa329aa2
125b455394
13351c8b00
1420437172
1513a99921
hexcb3d8e0

213113056 has 72 divisors (see below), whose sum is σ = 459038664. Its totient is φ = 97344000.

The previous prime is 213113051. The next prime is 213113057. The reversal of 213113056 is 650311312.

It is a happy number.

213113056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213113051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 848931 + ... + 849181.

It is an arithmetic number, because the mean of its divisors is an integer number (6375537).

Almost surely, 2213113056 is an apocalyptic number.

213113056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213113056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229519332).

213113056 is an abundant number, since it is smaller than the sum of its proper divisors (245925608).

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

213113056 is a wasteful number, since it uses less digits than its factorization.

213113056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 213113056 is about 14598.3922402434. The cubic root of 213113056 is about 597.3149054069.

Adding to 213113056 its reverse (650311312), we get a palindrome (863424368).

The spelling of 213113056 in words is "two hundred thirteen million, one hundred thirteen thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 157 169 208 251 314 338 416 502 628 676 1004 1256 1352 2008 2041 2512 2704 3263 4016 4082 5024 5408 6526 8032 8164 13052 16328 26104 26533 32656 39407 42419 52208 53066 65312 78814 84838 104416 106132 157628 169676 212264 315256 339352 424528 512291 630512 678704 849056 1024582 1261024 1357408 2049164 4098328 6659783 8196656 13319566 16393312 26639132 53278264 106556528 213113056