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212395008 = 2103721783
BaseRepresentation
bin11001010100011…
…10010000000000
3112210122210011210
430222032100000
5413333120013
633024210120
75156220300
oct1452162000
9483583153
10212395008
11a9989571
125b169940
1335007027
14202cb600
15139a6cc3
hexca8e400

212395008 has 264 divisors, whose sum is σ = 705674592. Its totient is φ = 56426496.

The previous prime is 212395003. The next prime is 212395037. The reversal of 212395008 is 800593212.

It is a happy number.

It is a super-2 number, since 2×2123950082 = 90223278846640128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212395003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2558935 + ... + 2559017.

Almost surely, 2212395008 is an apocalyptic number.

212395008 is a gapful number since it is divisible by the number (28) 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 212395008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352837296).

212395008 is an abundant number, since it is smaller than the sum of its proper divisors (493279584).

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

212395008 is a wasteful number, since it uses less digits than its factorization.

212395008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 212395008 is about 14573.7780962934. The cubic root of 212395008 is about 596.6433004107.

The spelling of 212395008 in words is "two hundred twelve million, three hundred ninety-five thousand, eight".