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212242030 = 257211132233
BaseRepresentation
bin11001010011010…
…00111001101110
3112210101000022221
430221220321232
5413313221110
633021025554
75155012300
oct1451507156
9483330287
10212242030
11a9894640
125b0b52ba
1334c82500
142028b970
15139767da
hexca68e6e

212242030 has 144 divisors (see below), whose sum is σ = 527224464. Its totient is φ = 60802560.

The previous prime is 212242021. The next prime is 212242033. The reversal of 212242030 is 30242212.

212242030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212241995 and 212242013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212242033) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 910794 + ... + 911026.

It is an arithmetic number, because the mean of its divisors is an integer number (3661281).

Almost surely, 2212242030 is an apocalyptic number.

212242030 is an abundant number, since it is smaller than the sum of its proper divisors (314982434).

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

212242030 is a wasteful number, since it uses less digits than its factorization.

212242030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 212242030 is about 14568.5287520738. The cubic root of 212242030 is about 596.5000214298.

Adding to 212242030 its reverse (30242212), we get a palindrome (242484242).

It can be divided in two parts, 212 and 242030, that added together give a palindrome (242242).

The spelling of 212242030 in words is "two hundred twelve million, two hundred forty-two thousand, thirty".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 49 55 65 70 77 91 98 110 130 143 154 169 182 233 245 286 338 385 455 466 490 539 637 715 770 845 910 1001 1078 1165 1183 1274 1430 1631 1690 1859 2002 2330 2366 2563 2695 3029 3185 3262 3718 5005 5126 5390 5915 6058 6370 7007 8155 8281 9295 10010 11417 11830 12815 13013 14014 15145 16310 16562 17941 18590 21203 22834 25630 26026 30290 33319 35035 35882 39377 41405 42406 57085 65065 66638 70070 78754 82810 89705 91091 106015 114170 125587 130130 148421 166595 179410 182182 196885 212030 233233 251174 275639 296842 333190 393770 433147 455455 466466 551278 627935 742105 866294 910910 1166165 1255870 1378195 1484210 1632631 1929473 2165735 2332330 2756390 3032029 3265262 3858946 4331470 6064058 8163155 9647365 15160145 16326310 19294730 21224203 30320290 42448406 106121015 212242030