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212304222 = 232132101691
BaseRepresentation
bin11001010011110…
…00000101011110
3112210111011122100
430221320011132
5413322213342
633022225530
75155361514
oct1451700536
9483434570
10212304222
11a9927339
125b1252a6
1334ca4900
14202a64b4
1513989e4c
hexca7815e

212304222 has 72 divisors (see below), whose sum is σ = 503758008. Its totient is φ = 64584000.

The previous prime is 212304199. The next prime is 212304229. The reversal of 212304222 is 222403212.

212304222 is a `hidden beast` number, since 212 + 30 + 422 + 2 = 666.

212304222 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 junction number, because it is equal to n+sod(n) for n = 212304195 and 212304204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212304229) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 306897 + ... + 307587.

It is an arithmetic number, because the mean of its divisors is an integer number (6996639).

Almost surely, 2212304222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212304222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251879004).

212304222 is an abundant number, since it is smaller than the sum of its proper divisors (291453786).

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

212304222 is a wasteful number, since it uses less digits than its factorization.

212304222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 212304222 is about 14570.6630597238. The cubic root of 212304222 is about 596.5582786727.

Adding to 212304222 its reverse (222403212), we get a palindrome (434707434).

It can be divided in two parts, 21230 and 4222, that added together give a palindrome (25452).

The spelling of 212304222 in words is "two hundred twelve million, three hundred four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 169 202 234 303 338 507 606 691 909 1014 1313 1382 1521 1818 2073 2626 3042 3939 4146 6219 7878 8983 11817 12438 17069 17966 23634 26949 34138 51207 53898 69791 80847 102414 116779 139582 153621 161694 209373 233558 307242 350337 418746 628119 700674 907283 1051011 1256238 1814566 2102022 2721849 5443698 8165547 11794679 16331094 23589358 35384037 70768074 106152111 212304222