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212404240 = 2452655053
BaseRepresentation
bin11001010100100…
…00100000010000
3112210200020211201
430222100200100
5413333413430
633024320544
75156256226
oct1452204020
9483606751
10212404240
11a99954a4
125b173154
133500b2a9
14202d0b16
15139a98ca
hexca90810

212404240 has 20 divisors (see below), whose sum is σ = 493840044. Its totient is φ = 84961664.

The previous prime is 212404237. The next prime is 212404243. The reversal of 212404240 is 42404212.

212404240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212404237) and next prime (212404243).

It can be written as a sum of positive squares in 2 ways, for example, as 52533504 + 159870736 = 7248^2 + 12644^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2124042402 = 90231122339955200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212404243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1327447 + ... + 1327606.

Almost surely, 2212404240 is an apocalyptic number.

212404240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212404240 is an abundant number, since it is smaller than the sum of its proper divisors (281435804).

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

212404240 is a wasteful number, since it uses less digits than its factorization.

212404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655066 (or 2655060 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 212404240 is about 14574.0948260947. The cubic root of 212404240 is about 596.6519448875.

Adding to 212404240 its reverse (42404212), we get a palindrome (254808452).

The spelling of 212404240 in words is "two hundred twelve million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2655053 5310106 10620212 13275265 21240424 26550530 42480848 53101060 106202120 212404240