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212441010 = 235172107229
BaseRepresentation
bin11001010100110…
…01011110110010
3112210202010021120
430222121132302
5413341103020
633025203110
75156501355
oct1452313662
9483663246
10212441010
11a9a10091
125b190496
1335021c52
142030029c
15139b5740
hexca997b2

212441010 has 96 divisors (see below), whose sum is σ = 549063360. Its totient is φ = 52589568.

The previous prime is 212440981. The next prime is 212441011. The reversal of 212441010 is 10144212.

212441010 is digitally balanced in base 3, 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 (15).

It is not an unprimeable number, because it can be changed into a prime (212441011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927576 + ... + 927804.

It is an arithmetic number, because the mean of its divisors is an integer number (5719410).

Almost surely, 2212441010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212441010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274531680).

212441010 is an abundant number, since it is smaller than the sum of its proper divisors (336622350).

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

212441010 is a wasteful number, since it uses less digits than its factorization.

212441010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 212441010 is about 14575.3562563664. The cubic root of 212441010 is about 596.6863723643.

Adding to 212441010 its reverse (10144212), we get a palindrome (222585222).

It can be divided in two parts, 2124 and 41010, that added together give a palindrome (43134).

The spelling of 212441010 in words is "two hundred twelve million, four hundred forty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 107 170 214 229 255 289 321 458 510 535 578 642 687 867 1070 1145 1374 1445 1605 1734 1819 2290 2890 3210 3435 3638 3893 4335 5457 6870 7786 8670 9095 10914 11679 18190 19465 23358 24503 27285 30923 38930 49006 54570 58395 61846 66181 73509 92769 116790 122515 132362 147018 154615 185538 198543 245030 309230 330905 367545 397086 416551 463845 661810 735090 833102 927690 992715 1249653 1985430 2082755 2499306 4165510 6248265 7081367 12496530 14162734 21244101 35406835 42488202 70813670 106220505 212441010