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212444430 = 235112979281
BaseRepresentation
bin11001010100110…
…10010100001110
3112210202021222020
430222122110032
5413341210210
633025231010
75156514342
oct1452322416
9483667866
10212444430
11a9a12710
125b192466
1335023683
1420301622
15139b6770
hexca9a50e

212444430 has 128 divisors (see below), whose sum is σ = 584755200. Its totient is φ = 48921600.

The previous prime is 212444429. The next prime is 212444431. The reversal of 212444430 is 34444212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212444429) and next prime (212444431).

It is a self number, because there is not a number n which added to its sum of digits gives 212444430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212444431) 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 63 ways as a sum of consecutive naturals, for example, 755890 + ... + 756170.

It is an arithmetic number, because the mean of its divisors is an integer number (4568400).

Almost surely, 2212444430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212444430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292377600).

212444430 is an abundant number, since it is smaller than the sum of its proper divisors (372310770).

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

212444430 is a wasteful number, since it uses less digits than its factorization.

212444430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 212444430 is about 14575.4735772118. The cubic root of 212444430 is about 596.6895742829.

Adding to 212444430 its reverse (34444212), we get a palindrome (246888642).

The spelling of 212444430 in words is "two hundred twelve million, four hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 79 87 110 145 158 165 174 237 281 290 319 330 395 435 474 562 638 790 843 869 870 957 1185 1405 1595 1686 1738 1914 2291 2370 2607 2810 3091 3190 4215 4345 4582 4785 5214 6182 6873 8149 8430 8690 9273 9570 11455 13035 13746 15455 16298 18546 22199 22910 24447 25201 26070 30910 34365 40745 44398 46365 48894 50402 66597 68730 75603 81490 89639 92730 110995 122235 126005 133194 151206 179278 221990 244189 244470 252010 268917 332985 378015 448195 488378 537834 643771 665970 732567 756030 896390 1220945 1287542 1344585 1465134 1931313 2441890 2689170 3218855 3662835 3862626 6437710 7081481 7325670 9656565 14162962 19313130 21244443 35407405 42488886 70814810 106222215 212444430