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212414500 = 2253424829
BaseRepresentation
bin11001010100100…
…11000000100100
3112210200202220201
430222103000210
5413334231000
633024440244
75156331154
oct1452230044
9483622821
10212414500
11a99a2181
125b179084
1335012b6c
14202d4764
15139ac96a
hexca93024

212414500 has 24 divisors (see below), whose sum is σ = 463914360. Its totient is φ = 84965600.

The previous prime is 212414441. The next prime is 212414537. The reversal of 212414500 is 5414212.

It can be written as a sum of positive squares in 4 ways, for example, as 13942756 + 198471744 = 3734^2 + 14088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211915 + ... + 212914.

It is an arithmetic number, because the mean of its divisors is an integer number (19329765).

Almost surely, 2212414500 is an apocalyptic number.

212414500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212414500 is an abundant number, since it is smaller than the sum of its proper divisors (251499860).

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

212414500 is a wasteful number, since it uses less digits than its factorization.

212414500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424848 (or 424836 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 212414500 is about 14574.4468162603. The cubic root of 212414500 is about 596.6615516486.

Adding to 212414500 its reverse (5414212), we get a palindrome (217828712).

The spelling of 212414500 in words is "two hundred twelve million, four hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 424829 849658 1699316 2124145 4248290 8496580 10620725 21241450 42482900 53103625 106207250 212414500