Search a number
-
+
211806312 = 2338825263
BaseRepresentation
bin11001001111111…
…10100001101000
3112202112212122020
430213332201220
5413210300222
633003424440
75151216054
oct1447764150
9482485566
10211806312
11a9617243
125ab25120
1334b5c0a3
14201b6c64
15138dc65c
hexc9fe868

211806312 has 16 divisors (see below), whose sum is σ = 529515840. Its totient is φ = 70602096.

The previous prime is 211806307. The next prime is 211806313. The reversal of 211806312 is 213608112.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 8825263 = 211806312 / (2 + 1 + 1 + 8 + 0 + 6 + 3 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (211806313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4412608 + ... + 4412655.

It is an arithmetic number, because the mean of its divisors is an integer number (33094740).

Almost surely, 2211806312 is an apocalyptic number.

It is an amenable number.

211806312 is an abundant number, since it is smaller than the sum of its proper divisors (317709528).

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

211806312 is a wasteful number, since it uses less digits than its factorization.

211806312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8825272 (or 8825268 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 211806312 is about 14553.5669854507. The cubic root of 211806312 is about 596.0915508808.

The spelling of 211806312 in words is "two hundred eleven million, eight hundred six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 8825263 17650526 26475789 35301052 52951578 70602104 105903156 211806312