Search a number
-
+
212108490 = 233511174201
BaseRepresentation
bin11001010010010…
…00010011001010
3112210010020011000
430221020103022
5413244432430
633014115430
75153615046
oct1451102312
9483106130
10212108490
11a9803280
125b04bb76
1334c367a9
1420255026
151394be60
hexca484ca

212108490 has 128 divisors (see below), whose sum is σ = 653495040. Its totient is φ = 48384000.

The previous prime is 212108489. The next prime is 212108497. The reversal of 212108490 is 94801212.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212108497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48390 + ... + 52590.

It is an arithmetic number, because the mean of its divisors is an integer number (5105430).

Almost surely, 2212108490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212108490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326747520).

212108490 is an abundant number, since it is smaller than the sum of its proper divisors (441386550).

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

212108490 is a wasteful number, since it uses less digits than its factorization.

212108490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 212108490 is about 14563.9448639440. The cubic root of 212108490 is about 596.3748917606.

The spelling of 212108490 in words is "two hundred twelve million, one hundred eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 85 90 99 102 110 135 153 165 170 187 198 255 270 297 306 330 374 459 495 510 561 594 765 918 935 990 1122 1485 1530 1683 1870 2295 2805 2970 3366 4201 4590 5049 5610 8402 8415 10098 12603 16830 21005 25206 25245 37809 42010 46211 50490 63015 71417 75618 92422 113427 126030 138633 142834 189045 214251 226854 231055 277266 357085 378090 415899 428502 462110 567135 642753 693165 714170 785587 831798 1071255 1134270 1247697 1285506 1386330 1571174 1928259 2079495 2142510 2356761 2495394 3213765 3856518 3927935 4158990 4713522 6238485 6427530 7070283 7855870 9641295 11783805 12476970 14140566 19282590 21210849 23567610 35351415 42421698 70702830 106054245 212108490