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204130212 = 2231113472531
BaseRepresentation
bin11000010101011…
…00011110100100
3112020002220000020
430022230132210
5404224131322
632131115140
75026035546
oct1412543644
9466086006
10204130212
11a5254060
1258442ab0
13333a2210
141d179696
1512dc305c
hexc2ac7a4

204130212 has 96 divisors (see below), whose sum is σ = 571705344. Its totient is φ = 55862400.

The previous prime is 204130211. The next prime is 204130219. The reversal of 204130212 is 212031402.

It is a junction number, because it is equal to n+sod(n) for n = 204130191 and 204130200.

It is not an unprimeable number, because it can be changed into a prime (204130211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79387 + ... + 81917.

It is an arithmetic number, because the mean of its divisors is an integer number (5955264).

Almost surely, 2204130212 is an apocalyptic number.

204130212 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 204130212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285852672).

204130212 is an abundant number, since it is smaller than the sum of its proper divisors (367575132).

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

204130212 is a wasteful number, since it uses less digits than its factorization.

204130212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 204130212 is about 14287.4144616862. The cubic root of 204130212 is about 588.8017546382.

Adding to 204130212 its reverse (212031402), we get a palindrome (416161614).

The spelling of 204130212 in words is "two hundred four million, one hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 47 52 66 78 94 132 141 143 156 188 282 286 429 517 564 572 611 858 1034 1222 1551 1716 1833 2068 2444 2531 3102 3666 5062 6204 6721 7332 7593 10124 13442 15186 20163 26884 27841 30372 32903 40326 55682 65806 80652 83523 98709 111364 118957 131612 167046 197418 237914 334092 356871 361933 394836 475828 713742 723866 1085799 1308527 1427484 1447732 1546441 2171598 2617054 3092882 3925581 4343196 4639323 5234108 6185764 7851162 9278646 15702324 17010851 18557292 34021702 51032553 68043404 102065106 204130212