Search a number
-
+
266216130 = 232512723291
BaseRepresentation
bin11111101111000…
…10001011000010
3200112221011212200
433313202023002
51021122404010
642225534030
76411541215
oct1767421302
9615834780
10266216130
111272aa134
12751a4316
13431cc74b
14274db77c
1518588cc0
hexfde22c2

266216130 has 48 divisors (see below), whose sum is σ = 697641984. Its totient is φ = 70428960.

The previous prime is 266216059. The next prime is 266216173. The reversal of 266216130 is 31612662.

266216130 is a `hidden beast` number, since 2 + 6 + 621 + 6 + 1 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 266216094 and 266216103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216 + ... + 23075.

It is an arithmetic number, because the mean of its divisors is an integer number (14534208).

Almost surely, 2266216130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266216130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348820992).

266216130 is an abundant number, since it is smaller than the sum of its proper divisors (431425854).

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

266216130 is a wasteful number, since it uses less digits than its factorization.

266216130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23431 (or 23428 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 266216130 is about 16316.1309752036. The cubic root of 266216130 is about 643.2968950938.

Adding to 266216130 its reverse (31612662), we get a palindrome (297828792).

The spelling of 266216130 in words is "two hundred sixty-six million, two hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1905 2286 3810 5715 11430 23291 46582 69873 116455 139746 209619 232910 349365 419238 698730 1048095 2096190 2957957 5915914 8873871 14789785 17747742 26621613 29579570 44369355 53243226 88738710 133108065 266216130