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212442408 = 23322950589
BaseRepresentation
bin11001010100110…
…01110100101000
3112210202012012100
430222121310220
5413341124113
633025213400
75156505423
oct1452316450
9483665170
10212442408
11a9a11142
125b191260
1335022789
14203009ba
15139b5d73
hexca99d28

212442408 has 24 divisors (see below), whose sum is σ = 575365050. Its totient is φ = 70814112.

The previous prime is 212442407. The next prime is 212442413. The reversal of 212442408 is 804244212.

212442408 is a `hidden beast` number, since 212 + 4 + 42 + 408 = 666.

212442408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 112402404 + 100040004 = 10602^2 + 10002^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (212442407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1475223 + ... + 1475366.

Almost surely, 2212442408 is an apocalyptic number.

It is an amenable number.

212442408 is an abundant number, since it is smaller than the sum of its proper divisors (362922642).

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

212442408 is a wasteful number, since it uses less digits than its factorization.

212442408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950601 (or 2950594 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 212442408 is about 14575.4042139489. The cubic root of 212442408 is about 596.6876812229.

The spelling of 212442408 in words is "two hundred twelve million, four hundred forty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2950589 5901178 8851767 11802356 17703534 23604712 26555301 35407068 53110602 70814136 106221204 212442408