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212424534 = 232716310343
BaseRepresentation
bin11001010100101…
…01011101010110
3112210201021200100
430222111131112
5413340041114
633024554530
75156402340
oct1452253526
9483637610
10212424534
11a99a9773
125b182a46
13350175ba
14202d8290
15139b0909
hexca95756

212424534 has 48 divisors (see below), whose sum is σ = 529281792. Its totient is φ = 60314544.

The previous prime is 212424529. The next prime is 212424539. The reversal of 212424534 is 435424212.

212424534 is a `hidden beast` number, since 2 + 124 + 2 + 4 + 534 = 666.

It is an interprime number because it is at equal distance from previous prime (212424529) and next prime (212424539).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212424498 and 212424507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212424539) 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, 15367 + ... + 25709.

It is an arithmetic number, because the mean of its divisors is an integer number (11026704).

Almost surely, 2212424534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212424534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264640896).

212424534 is an abundant number, since it is smaller than the sum of its proper divisors (316857258).

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

212424534 is a wasteful number, since it uses less digits than its factorization.

212424534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10521 (or 10518 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 212424534 is about 14574.7910448143. The cubic root of 212424534 is about 596.6709464996.

Adding to 212424534 its reverse (435424212), we get a palindrome (647848746).

The spelling of 212424534 in words is "two hundred twelve million, four hundred twenty-four thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 163 326 489 978 1141 1467 2282 2934 3423 6846 10269 10343 20538 20686 31029 62058 72401 93087 144802 186174 217203 434406 651609 1303218 1685909 3371818 5057727 10115454 11801363 15173181 23602726 30346362 35404089 70808178 106212267 212424534