Search a number
-
+
212123223 = 32132891567
BaseRepresentation
bin11001010010010…
…11111001010111
3112210010222100200
430221023321113
5413300420343
633014311543
75154006024
oct1451137127
9483128320
10212123223
11a9813354
125b0585b3
1334c40400
142025a54b
15139514d3
hexca4be57

212123223 has 36 divisors (see below), whose sum is σ = 335724480. Its totient is φ = 128988288.

The previous prime is 212123203. The next prime is 212123237. The reversal of 212123223 is 322321212.

It is not a de Polignac number, because 212123223 - 26 = 212123159 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212123196 and 212123205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212123203) 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, 134586 + ... + 136152.

It is an arithmetic number, because the mean of its divisors is an integer number (9325680).

Almost surely, 2212123223 is an apocalyptic number.

212123223 is a deficient number, since it is larger than the sum of its proper divisors (123601257).

212123223 is a wasteful number, since it uses less digits than its factorization.

212123223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1672 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 212123223 is about 14564.4506590534. The cubic root of 212123223 is about 596.3886994554.

Adding to 212123223 its reverse (322321212), we get a palindrome (534444435).

The spelling of 212123223 in words is "two hundred twelve million, one hundred twenty-three thousand, two hundred twenty-three".

Divisors: 1 3 9 13 39 89 117 169 267 507 801 1157 1521 1567 3471 4701 10413 14103 15041 20371 45123 61113 135369 139463 183339 264823 418389 794469 1255167 1813019 2383407 5439057 16317171 23569247 70707741 212123223