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212431040 = 265701947
BaseRepresentation
bin11001010100101…
…11000011000000
3112210201121121022
430222113003000
5413340243130
633025045012
75156430323
oct1452270300
9483647538
10212431040
11a9a03648
125b186768
133501a553
14202da7ba
15139b27e5
hexca970c0

212431040 has 56 divisors (see below), whose sum is σ = 507107952. Its totient is φ = 84761600.

The previous prime is 212431033. The next prime is 212431057. The reversal of 212431040 is 40134212.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 223847 + ... + 224793.

Almost surely, 2212431040 is an apocalyptic number.

212431040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253553976).

212431040 is an abundant number, since it is smaller than the sum of its proper divisors (294676912).

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

212431040 is an equidigital number, since it uses as much as digits as its factorization.

212431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 212431040 is about 14575.0142366997. The cubic root of 212431040 is about 596.6770379202.

Adding to 212431040 its reverse (40134212), we get a palindrome (252565252).

The spelling of 212431040 in words is "two hundred twelve million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 701 947 1402 1894 2804 3505 3788 4735 5608 7010 7576 9470 11216 14020 15152 18940 22432 28040 30304 37880 44864 56080 60608 75760 112160 151520 224320 303040 663847 1327694 2655388 3319235 5310776 6638470 10621552 13276940 21243104 26553880 42486208 53107760 106215520 212431040