Search a number
-
+
812214 = 23313289
BaseRepresentation
bin11000110010010110110
31112021011000
43012102312
5201442324
625224130
76621654
oct3062266
91467130
10812214
11505257
12332046
13225900
14171dd4
151109c9
hexc64b6

812214 has 48 divisors (see below), whose sum is σ = 1976400. Its totient is φ = 247104.

The previous prime is 812213. The next prime is 812221. The reversal of 812214 is 412218.

812214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9082 + ... + 9170.

It is an arithmetic number, because the mean of its divisors is an integer number (41175).

2812214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988200).

812214 is an abundant number, since it is smaller than the sum of its proper divisors (1164186).

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

812214 is a wasteful number, since it uses less digits than its factorization.

812214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 812214 is about 901.2291606467. The cubic root of 812214 is about 93.3018289361.

It can be divided in two parts, 81221 and 4, that added together give a square (81225 = 2852).

The spelling of 812214 in words is "eight hundred twelve thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 89 117 169 178 234 267 338 351 507 534 702 801 1014 1157 1521 1602 2314 2403 3042 3471 4563 4806 6942 9126 10413 15041 20826 30082 31239 45123 62478 90246 135369 270738 406107 812214