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212532460 = 22571518089
BaseRepresentation
bin11001010101011…
…11110011101100
3112210220202201121
430222233303230
5413402014320
633031150324
75160332110
oct1452576354
9483822647
10212532460
11a9a72868
125b2153a4
133505476a
1420325740
15139d28aa
hexcaafcec

212532460 has 24 divisors (see below), whose sum is σ = 510078240. Its totient is φ = 72868224.

The previous prime is 212532457. The next prime is 212532469. The reversal of 212532460 is 64235212.

It is a super-3 number, since 3×2125324603 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212532469) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 758905 + ... + 759184.

It is an arithmetic number, because the mean of its divisors is an integer number (21253260).

Almost surely, 2212532460 is an apocalyptic number.

212532460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212532460 is an abundant number, since it is smaller than the sum of its proper divisors (297545780).

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

212532460 is a wasteful number, since it uses less digits than its factorization.

212532460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518105 (or 1518103 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 212532460 is about 14578.4930634137. The cubic root of 212532460 is about 596.7719790947.

Adding to 212532460 its reverse (64235212), we get a palindrome (276767672).

The spelling of 212532460 in words is "two hundred twelve million, five hundred thirty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1518089 3036178 6072356 7590445 10626623 15180890 21253246 30361780 42506492 53133115 106266230 212532460