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212401530 = 232511732939
BaseRepresentation
bin11001010100011…
…11110101111010
3112210200010010100
430222033311322
5413333322110
633024300230
75156245305
oct1452176572
9483603110
10212401530
11a9993460
125b171676
1335009ca3
14202cdb3c
15139a8bc0
hexca8fd7a

212401530 has 96 divisors (see below), whose sum is σ = 610908480. Its totient is φ = 50768640.

The previous prime is 212401529. The next prime is 212401543. The reversal of 212401530 is 35104212.

212401530 is a `hidden beast` number, since 212 + 401 + 53 + 0 = 666.

It is a super-2 number, since 2×2124015302 = 90228819892681800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70801 + ... + 73739.

It is an arithmetic number, because the mean of its divisors is an integer number (6363630).

Almost surely, 2212401530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212401530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305454240).

212401530 is an abundant number, since it is smaller than the sum of its proper divisors (398506950).

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

212401530 is a wasteful number, since it uses less digits than its factorization.

212401530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 212401530 is about 14574.0018526141. The cubic root of 212401530 is about 596.6494073775.

Adding to 212401530 its reverse (35104212), we get a palindrome (247505742).

The spelling of 212401530 in words is "two hundred twelve million, four hundred one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 73 90 99 110 146 165 198 219 330 365 438 495 657 730 803 990 1095 1314 1606 2190 2409 2939 3285 4015 4818 5878 6570 7227 8030 8817 12045 14454 14695 17634 24090 26451 29390 32329 36135 44085 52902 64658 72270 88170 96987 132255 161645 193974 214547 264510 290961 323290 429094 484935 581922 643641 969870 1072735 1287282 1454805 1930923 2145470 2360017 2909610 3218205 3861846 4720034 6436410 7080051 9654615 11800085 14160102 19309230 21240153 23600170 35400255 42480306 70800510 106200765 212401530