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212424912 = 24327210739
BaseRepresentation
bin11001010100101…
…01100011010000
3112210201022012100
430222111203100
5413340044122
633025000400
75156403420
oct1452254320
9483638170
10212424912
11a99a9a87
125b183100
133501781b
14202d8480
15139b0aac
hexca958d0

212424912 has 60 divisors (see below), whose sum is σ = 679425760. Its totient is φ = 60692544.

The previous prime is 212424893. The next prime is 212424923. The reversal of 212424912 is 219424212.

212424912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104362 + ... + 106377.

Almost surely, 2212424912 is an apocalyptic number.

It is an amenable number.

212424912 is an abundant number, since it is smaller than the sum of its proper divisors (467000848).

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

212424912 is a wasteful number, since it uses less digits than its factorization.

212424912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210760 (or 210751 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 212424912 is about 14574.8040124044. The cubic root of 212424912 is about 596.6713004159.

The spelling of 212424912 in words is "two hundred twelve million, four hundred twenty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 210739 421478 632217 842956 1264434 1475173 1685912 1896651 2528868 2950346 3371824 3793302 4425519 5057736 5900692 7586604 8851038 10115472 11801384 13276557 15173208 17702076 23602768 26553114 30346416 35404152 53106228 70808304 106212456 212424912