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231322212 = 2232112920143
BaseRepresentation
bin11011100100110…
…11001001100100
3121010021101102100
431302123021210
5433204302322
634542012100
75506130532
oct1562331144
9533241370
10231322212
11109636890
1265577030
1338c03064
1422a17152
1515494dac
hexdc9b264

231322212 has 72 divisors (see below), whose sum is σ = 659917440. Its totient is φ = 67677120.

The previous prime is 231322211. The next prime is 231322229. The reversal of 231322212 is 212223132.

231322212 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 nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (231322211) 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, 1413 + ... + 21555.

It is an arithmetic number, because the mean of its divisors is an integer number (9165520).

Almost surely, 2231322212 is an apocalyptic number.

231322212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231322212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329958720).

231322212 is an abundant number, since it is smaller than the sum of its proper divisors (428595228).

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

231322212 is a wasteful number, since it uses less digits than its factorization.

231322212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20193 (or 20188 counting only the distinct ones).

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

The square root of 231322212 is about 15209.2804563530. The cubic root of 231322212 is about 613.8643965553.

Adding to 231322212 its reverse (212223132), we get a palindrome (443545344).

The spelling of 231322212 in words is "two hundred thirty-one million, three hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 20143 40286 60429 80572 120858 181287 221573 241716 362574 443146 584147 664719 725148 886292 1168294 1329438 1752441 1994157 2336588 2658876 3504882 3988314 5257323 6425617 7009764 7976628 10514646 12851234 19276851 21029292 25702468 38553702 57830553 77107404 115661106 231322212